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Finding the Fourth Proportional to 137,755.56, 206,436.18 and 78,468.78

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Solution

The fourth proportional to 137,755.56, 206,436.18 and 78,468.78 is: 117,590.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,755.56 : 206,436.18 = 78,468.78 : x
  2. Step 2: Convert to fraction form
    137,755.56/206,436.18 = 78,468.78/x
  3. Step 3: Cross multiply
    137,755.56x = 206,436.18 × 78,468.78
  4. Step 4: Simplify right side
    137,755.56x = 16,198,795,192.46
  5. Step 5: Solve for x
    x = 16,198,795,192.46/137,755.56
  6. Step 6: Final answer
    x = 117,590.86

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1.5x scale

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.