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Finding the Fourth Proportional to 68,472.30, 102,708.45 and 38,947.80

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Solution

The fourth proportional to 68,472.30, 102,708.45 and 38,947.80 is: 58,421.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,472.30 : 102,708.45 = 38,947.80 : x
  2. Step 2: Convert to fraction form
    68,472.30/102,708.45 = 38,947.80/x
  3. Step 3: Cross multiply
    68,472.30x = 102,708.45 × 38,947.80
  4. Step 4: Simplify right side
    68,472.30x = 4,000,268,168.91
  5. Step 5: Solve for x
    x = 4,000,268,168.91/68,472.30
  6. Step 6: Final answer
    x = 58,421.70

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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.