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Finding the Fourth Proportional to 87,148.90, 120,375.10 and 71,890.74

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Solution

The fourth proportional to 87,148.90, 120,375.10 and 71,890.74 is: 99,299.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,148.90 : 120,375.10 = 71,890.74 : x
  2. Step 2: Convert to fraction form
    87,148.90/120,375.10 = 71,890.74/x
  3. Step 3: Cross multiply
    87,148.90x = 120,375.10 × 71,890.74
  4. Step 4: Simplify right side
    87,148.90x = 8,653,855,016.57
  5. Step 5: Solve for x
    x = 8,653,855,016.57/87,148.90
  6. Step 6: Final answer
    x = 99,299.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.