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Finding the Fourth Proportional to 81,661.92, 122,492.32 and 29,073.28

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Solution

The fourth proportional to 81,661.92, 122,492.32 and 29,073.28 is: 43,609.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,661.92 : 122,492.32 = 29,073.28 : x
  2. Step 2: Convert to fraction form
    81,661.92/122,492.32 = 29,073.28/x
  3. Step 3: Cross multiply
    81,661.92x = 122,492.32 × 29,073.28
  4. Step 4: Simplify right side
    81,661.92x = 3,561,253,517.21
  5. Step 5: Solve for x
    x = 3,561,253,517.21/81,661.92
  6. Step 6: Final answer
    x = 43,609.72

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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.