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Finding the Fourth Proportional to 281,613.87, 422,421.72 and 71,251.83

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Solution

The fourth proportional to 281,613.87, 422,421.72 and 71,251.83 is: 106,877.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,613.87 : 422,421.72 = 71,251.83 : x
  2. Step 2: Convert to fraction form
    281,613.87/422,421.72 = 71,251.83/x
  3. Step 3: Cross multiply
    281,613.87x = 422,421.72 × 71,251.83
  4. Step 4: Simplify right side
    281,613.87x = 30,098,320,581.75
  5. Step 5: Solve for x
    x = 30,098,320,581.75/281,613.87
  6. Step 6: Final answer
    x = 106,877.98

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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.