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Finding the Fourth Proportional to 81,753.75, 122,564.43 and 25,564.92

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Solution

The fourth proportional to 81,753.75, 122,564.43 and 25,564.92 is: 38,326.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,753.75 : 122,564.43 = 25,564.92 : x
  2. Step 2: Convert to fraction form
    81,753.75/122,564.43 = 25,564.92/x
  3. Step 3: Cross multiply
    81,753.75x = 122,564.43 × 25,564.92
  4. Step 4: Simplify right side
    81,753.75x = 3,133,349,847.80
  5. Step 5: Solve for x
    x = 3,133,349,847.80/81,753.75
  6. Step 6: Final answer
    x = 38,326.68

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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.