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Finding the Fourth Proportional to 81,294.89, 121,943.87 and 22,132.10

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Solution

The fourth proportional to 81,294.89, 121,943.87 and 22,132.10 is: 33,198.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,294.89 : 121,943.87 = 22,132.10 : x
  2. Step 2: Convert to fraction form
    81,294.89/121,943.87 = 22,132.10/x
  3. Step 3: Cross multiply
    81,294.89x = 121,943.87 × 22,132.10
  4. Step 4: Simplify right side
    81,294.89x = 2,698,873,796.90
  5. Step 5: Solve for x
    x = 2,698,873,796.90/81,294.89
  6. Step 6: Final answer
    x = 33,198.57

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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.