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Finding the Fourth Proportional to 81,755.52, 122,866.56 and 40,231.68

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Solution

The fourth proportional to 81,755.52, 122,866.56 and 40,231.68 is: 60,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,755.52 : 122,866.56 = 40,231.68 : x
  2. Step 2: Convert to fraction form
    81,755.52/122,866.56 = 40,231.68/x
  3. Step 3: Cross multiply
    81,755.52x = 122,866.56 × 40,231.68
  4. Step 4: Simplify right side
    81,755.52x = 4,943,128,124.62
  5. Step 5: Solve for x
    x = 4,943,128,124.62/81,755.52
  6. Step 6: Final answer
    x = 60,462.32

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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.