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Finding the Fourth Proportional to 71,470.92, 98,633.16 and 39,637.92

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Solution

The fourth proportional to 71,470.92, 98,633.16 and 39,637.92 is: 54,702.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,470.92 : 98,633.16 = 39,637.92 : x
  2. Step 2: Convert to fraction form
    71,470.92/98,633.16 = 39,637.92/x
  3. Step 3: Cross multiply
    71,470.92x = 98,633.16 × 39,637.92
  4. Step 4: Simplify right side
    71,470.92x = 3,909,613,305.43
  5. Step 5: Solve for x
    x = 3,909,613,305.43/71,470.92
  6. Step 6: Final answer
    x = 54,702.15

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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.