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Finding the Fourth Proportional to 281,383.92, 422,060.76 and 71,023.68

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Solution

The fourth proportional to 281,383.92, 422,060.76 and 71,023.68 is: 106,531.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,383.92 : 422,060.76 = 71,023.68 : x
  2. Step 2: Convert to fraction form
    281,383.92/422,060.76 = 71,023.68/x
  3. Step 3: Cross multiply
    281,383.92x = 422,060.76 × 71,023.68
  4. Step 4: Simplify right side
    281,383.92x = 29,976,308,358.80
  5. Step 5: Solve for x
    x = 29,976,308,358.80/281,383.92
  6. Step 6: Final answer
    x = 106,531.70

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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.