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Finding the Fourth Proportional to 84,279.96, 126,424.80 and 31,689.90

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Solution

The fourth proportional to 84,279.96, 126,424.80 and 31,689.90 is: 47,536.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,279.96 : 126,424.80 = 31,689.90 : x
  2. Step 2: Convert to fraction form
    84,279.96/126,424.80 = 31,689.90/x
  3. Step 3: Cross multiply
    84,279.96x = 126,424.80 × 31,689.90
  4. Step 4: Simplify right side
    84,279.96x = 4,006,389,150.68
  5. Step 5: Solve for x
    x = 4,006,389,150.68/84,279.96
  6. Step 6: Final answer
    x = 47,536.68

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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.