ILL 1976 Problem 27

In a plane three points $P,Q,R,$ not on a line, are given. Let $k, l, m$ be positive numbers. Construct a triangle $ABC$ whose sides pass through $P, Q,$ and $R$ such that $P$ divides the segment $AB$ in the ratio $1 : k$ , $Q$ divides the segment $BC$ in the ratio $1 : l$ , and $R$ divides the segment $CA$ in the ratio $1 : m.$