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Finding the Fourth Proportional to 71,564.65, 98,755.35 and 39,731.50

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Solution

The fourth proportional to 71,564.65, 98,755.35 and 39,731.50 is: 54,827.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,564.65 : 98,755.35 = 39,731.50 : x
  2. Step 2: Convert to fraction form
    71,564.65/98,755.35 = 39,731.50/x
  3. Step 3: Cross multiply
    71,564.65x = 98,755.35 × 39,731.50
  4. Step 4: Simplify right side
    71,564.65x = 3,923,698,188.53
  5. Step 5: Solve for x
    x = 3,923,698,188.53/71,564.65
  6. Step 6: Final answer
    x = 54,827.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.