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Finding the Fourth Proportional to 137,761.56, 206,445.18 and 78,474.78

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Solution

The fourth proportional to 137,761.56, 206,445.18 and 78,474.78 is: 117,599.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,761.56 : 206,445.18 = 78,474.78 : x
  2. Step 2: Convert to fraction form
    137,761.56/206,445.18 = 78,474.78/x
  3. Step 3: Cross multiply
    137,761.56x = 206,445.18 × 78,474.78
  4. Step 4: Simplify right side
    137,761.56x = 16,200,740,082.56
  5. Step 5: Solve for x
    x = 16,200,740,082.56/137,761.56
  6. Step 6: Final answer
    x = 117,599.86

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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.