The inhomogeneous integral equation proposed by Attard for the study of triplet correlations [J. Chem. Phys. 91, 3072 (1989)] has been generalized to multicomponent systems. Defining one of the particles of a triplet as the source of an external field, the three particle distribution functions for the mixture are calculated using the inhomogeneous Ornstein-Zernike equation, an approximate closure relation and the Triezenberg-Zwanzig relation. The proposed theory performs satisfactorily for asymmetric mixtures of Lennard-Jones fluids for which other approximations at the two particle level tend to be rather inaccurate. (C) 2001 American Institute of Physics.