Finding the Fourth Proportional to 105,727, 158,590.50 and 31,855

Step by Step Solution

1. Step 1: Write the proportion equation
   105,727 : 158,590.50 = 31,855 : x
2. Step 2: Convert to fraction form
   105,727/158,590.50 = 31,855/x
3. Step 3: Cross multiply
   105,727x = 158,590.50 × 31,855
4. Step 4: Simplify right side
   105,727x = 5,051,900,377.50
5. Step 5: Solve for x
   x = 5,051,900,377.50/105,727
6. Step 6: Final answer
   x = 47,782.50