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Finding the Fourth Proportional to 81,912.33, 122,854.77 and 22,753.98

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Solution

The fourth proportional to 81,912.33, 122,854.77 and 22,753.98 is: 34,127.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,912.33 : 122,854.77 = 22,753.98 : x
  2. Step 2: Convert to fraction form
    81,912.33/122,854.77 = 22,753.98/x
  3. Step 3: Cross multiply
    81,912.33x = 122,854.77 × 22,753.98
  4. Step 4: Simplify right side
    81,912.33x = 2,795,434,979.48
  5. Step 5: Solve for x
    x = 2,795,434,979.48/81,912.33
  6. Step 6: Final answer
    x = 34,127.16

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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.