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Finding the Fourth Proportional to 137,761.62, 206,445.09 and 78,474.87

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Solution

The fourth proportional to 137,761.62, 206,445.09 and 78,474.87 is: 117,599.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,761.62 : 206,445.09 = 78,474.87 : x
  2. Step 2: Convert to fraction form
    137,761.62/206,445.09 = 78,474.87/x
  3. Step 3: Cross multiply
    137,761.62x = 206,445.09 × 78,474.87
  4. Step 4: Simplify right side
    137,761.62x = 16,200,751,599.89
  5. Step 5: Solve for x
    x = 16,200,751,599.89/137,761.62
  6. Step 6: Final answer
    x = 117,599.89

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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.