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Finding the Fourth Proportional to 81,909.32, 122,850.29 and 22,750.97

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Solution

The fourth proportional to 81,909.32, 122,850.29 and 22,750.97 is: 34,122.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,909.32 : 122,850.29 = 22,750.97 : x
  2. Step 2: Convert to fraction form
    81,909.32/122,850.29 = 22,750.97/x
  3. Step 3: Cross multiply
    81,909.32x = 122,850.29 × 22,750.97
  4. Step 4: Simplify right side
    81,909.32x = 2,794,962,534.28
  5. Step 5: Solve for x
    x = 2,794,962,534.28/81,909.32
  6. Step 6: Final answer
    x = 34,122.65

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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.