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Finding the Fourth Proportional to 71,585.32, 98,789.08 and 39,757.20

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Solution

The fourth proportional to 71,585.32, 98,789.08 and 39,757.20 is: 54,865.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,585.32 : 98,789.08 = 39,757.20 : x
  2. Step 2: Convert to fraction form
    71,585.32/98,789.08 = 39,757.20/x
  3. Step 3: Cross multiply
    71,585.32x = 98,789.08 × 39,757.20
  4. Step 4: Simplify right side
    71,585.32x = 3,927,577,211.38
  5. Step 5: Solve for x
    x = 3,927,577,211.38/71,585.32
  6. Step 6: Final answer
    x = 54,865.68

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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.