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Finding the Fourth Proportional to 137,572.30, 206,103.30 and 78,231.70

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Solution

The fourth proportional to 137,572.30, 206,103.30 and 78,231.70 is: 117,202.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,572.30 : 206,103.30 = 78,231.70 : x
  2. Step 2: Convert to fraction form
    137,572.30/206,103.30 = 78,231.70/x
  3. Step 3: Cross multiply
    137,572.30x = 206,103.30 × 78,231.70
  4. Step 4: Simplify right side
    137,572.30x = 16,123,811,534.61
  5. Step 5: Solve for x
    x = 16,123,811,534.61/137,572.30
  6. Step 6: Final answer
    x = 117,202.46

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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.