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Finding the Fourth Proportional to 72,957.71, 109,432.92 and 25,558.13

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Solution

The fourth proportional to 72,957.71, 109,432.92 and 25,558.13 is: 38,335.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,957.71 : 109,432.92 = 25,558.13 : x
  2. Step 2: Convert to fraction form
    72,957.71/109,432.92 = 25,558.13/x
  3. Step 3: Cross multiply
    72,957.71x = 109,432.92 × 25,558.13
  4. Step 4: Simplify right side
    72,957.71x = 2,796,901,165.06
  5. Step 5: Solve for x
    x = 2,796,901,165.06/72,957.71
  6. Step 6: Final answer
    x = 38,335.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.