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Finding the Fourth Proportional to 81,394.92, 122,279.94 and 78,031.98

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Solution

The fourth proportional to 81,394.92, 122,279.94 and 78,031.98 is: 117,227.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,394.92 : 122,279.94 = 78,031.98 : x
  2. Step 2: Convert to fraction form
    81,394.92/122,279.94 = 78,031.98/x
  3. Step 3: Cross multiply
    81,394.92x = 122,279.94 × 78,031.98
  4. Step 4: Simplify right side
    81,394.92x = 9,541,745,832.48
  5. Step 5: Solve for x
    x = 9,541,745,832.48/81,394.92
  6. Step 6: Final answer
    x = 117,227.78

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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.