ABSTRACTEstimates of the physical boundary conditions on sediment source and sink regions and the flux between them provide insights into the evolution of topography and associated sedimentary basins. We present a regional‐scale, Plio‐Quaternary to recent sediment budget analysis of the Grande, Parapeti and Pilcomayo drainages of the central Andean fold‐thrust belt and related deposits in the Chaco foreland of southern Bolivia (18–23°S). We constrain source‐sink dimensions, fluxes and their errors with topographic maps, satellite imagery, a hydrologically conditioned digital elevation model, reconstructions of the San Juan del Oro (SJDO) erosion surface, foreland sediment isopachs and estimated denudation rates. Modern drainages range from 7453 to 86 798 km2 for a total source area of 153 632 km2. Palaeo‐drainage areas range from 9336 to 52 620 km2 and total 100 706 km2, suggesting basin source area growth of ∼50% since ∼10 Ma. About 2.4–3.1 × 104 km3 were excavated from below the SJDO surface since ∼3 Ma. The modern foredeep is 132 080 km2 with fluvial megafan areas and volumes ranging from 6142 to 22 511 km2 and from 1511 to 3332 km3, respectively. Since Emborozú Formation deposition beginning 2.1 ± 0.2 Ma, the foreland has a fill of ∼6.4 × 104 km3. The volume and rate of deposition require that at least ∼40–60% of additional sediment be supplied beyond that incised from below the SJDO. The data also place a lower limit of ≥0.2 mm year−1 (perhaps ≥0.4 mm year−1) on the time‐ and space‐averaged source area denudation rate since ∼2–3 Ma. These rates are within the median range measured for the Neogene, but are up to 2 orders of magnitude higher than some observations, as well as analytic solutions for basin topography and stratigraphy using a two‐dimensional mathematical model of foreland basin evolution. Source‐to‐sink sediment budget analyses and associated interpretations must explicitly and quantitatively reconcile all available area, volume and rate observations because of their inherent imprecision and the potential for magnification when they are convolved.