Excitation functions and mean projected recoil-ion ranges of the isomeric nuclei produced in proton-, $^{3}\mathrm{\ensuremath{-}}$, and \ensuremath{\alpha}-particle-induced reactions on $^{197}\mathrm{Au}$ were measured by an activation technique for bombarding energies ${\mathit{E}}_{\mathit{p}}$\ensuremath{\lesssim}50 MeV, and E${\mathrm{}}^{3}$He, \ensuremath{\alpha}\ensuremath{\lesssim}40 MeV. Isomeric yield ratios (${\mathrm{\ensuremath{\sigma}}}_{\mathit{m}}$/${\mathrm{\ensuremath{\sigma}}}_{\mathit{g}}$) were determined as a function of the incident particle energy. The experimental excitation functions and isomeric yield ratios were compared with those from statistical model calculations based on the Hauser-Feshbach formalism. From the analysis of excitation functions, recoil-ion ranges, and isomeric yield ratios, the observed reactions were able to be grouped into three distinctly different ones in the energy region studied: (i) compoundlike reaction for (p,3n), ${(}^{3}$He,4n), (\ensuremath{\alpha},3n), and (p,pn${)}^{196}$${\mathrm{Au}}^{\mathit{m}}$, (ii) one-neutron stripping reaction for ${(}^{3}$He,2p), and (iii) nonequilibrium one-neutron knockout or pickup reactions with transfer of a small amount of angular momentum for the ${(}^{3}$He,\ensuremath{\alpha}), (\ensuremath{\alpha},\ensuremath{\alpha}n), and (p,pn${)}^{196}$${\mathrm{Au}}^{\mathit{g}}$ that are intermediate between (i) and (ii). We propose a semiempirical method which predicts isomeric yield ratios in the compoundlike reactions, within a factor of 0.7 to 1.4, from the spin distribution of the compound nucleus.