$1 \cdot 30$ If $w: x=4: 3, y: z=3: 2, z: x=1: 6$, then $w: y$ equals
(A) $1: 3$.
(B) $16: 3$.
(C) $20: 3$.
(D) $27: 4$.
(E) $12: 1$.
(43rd American High School Mathematics Examination, 1992)
[Solution] From the given, we have
$$
\frac{w}{x}=\frac{4}{3}, \quad \frac{y}{z}=\frac{3}{2}, \quad \frac{z}{x}=\frac{1}{6} .
$$

Dividing the first two equations, we get $\frac{w z}{y x}=\frac{4}{3} \cdot \frac{2}{3}=\frac{8}{9}$. Substituting the third equation, we have $\frac{w}{y} \cdot \frac{1}{6}=\frac{8}{9}$, which simplifies to $\frac{w}{y}=\frac{48}{9}=\frac{16}{3}$. Therefore, the answer is $(B)$.