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Finding the Fourth Proportional to 84,156.64, 126,381.92 and 77,572.96

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Solution

The fourth proportional to 84,156.64, 126,381.92 and 77,572.96 is: 116,494.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,156.64 : 126,381.92 = 77,572.96 : x
  2. Step 2: Convert to fraction form
    84,156.64/126,381.92 = 77,572.96/x
  3. Step 3: Cross multiply
    84,156.64x = 126,381.92 × 77,572.96
  4. Step 4: Simplify right side
    84,156.64x = 9,803,819,624.88
  5. Step 5: Solve for x
    x = 9,803,819,624.88/84,156.64
  6. Step 6: Final answer
    x = 116,494.90

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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.