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Finding the Fourth Proportional to 81,874.92, 122,814.46 and 61,229.48

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Solution

The fourth proportional to 81,874.92, 122,814.46 and 61,229.48 is: 91,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,874.92 : 122,814.46 = 61,229.48 : x
  2. Step 2: Convert to fraction form
    81,874.92/122,814.46 = 61,229.48/x
  3. Step 3: Cross multiply
    81,874.92x = 122,814.46 × 61,229.48
  4. Step 4: Simplify right side
    81,874.92x = 7,519,865,522.28
  5. Step 5: Solve for x
    x = 7,519,865,522.28/81,874.92
  6. Step 6: Final answer
    x = 91,845.78

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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.