Question 14
Let $ABCD$ be a parallelogram with sides $AB$, $BC$, $CD$, $AD$, such that $AB \gt AD$ and $\frac{AC}{BD} = 3$. Let $r$ be the reflection of the line $AD$ with respect to $AC$ and let $s$ be the reflection of the line $BC$ with respect to $BD$. If $r$ and $s$ meet at $P$, compute the value of $\frac{PA}{PB}$.