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Finding the Fourth Proportional to 137,909.85, 206,677.92 and 71,396.70

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Solution

The fourth proportional to 137,909.85, 206,677.92 and 71,396.70 is: 106,998.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,909.85 : 206,677.92 = 71,396.70 : x
  2. Step 2: Convert to fraction form
    137,909.85/206,677.92 = 71,396.70/x
  3. Step 3: Cross multiply
    137,909.85x = 206,677.92 × 71,396.70
  4. Step 4: Simplify right side
    137,909.85x = 14,756,121,450.86
  5. Step 5: Solve for x
    x = 14,756,121,450.86/137,909.85
  6. Step 6: Final answer
    x = 106,998.31

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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.