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Finding the Fourth Proportional to 81,468.89, 122,211.78 and 22,304.55

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Solution

The fourth proportional to 81,468.89, 122,211.78 and 22,304.55 is: 33,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,468.89 : 122,211.78 = 22,304.55 : x
  2. Step 2: Convert to fraction form
    81,468.89/122,211.78 = 22,304.55/x
  3. Step 3: Cross multiply
    81,468.89x = 122,211.78 × 22,304.55
  4. Step 4: Simplify right side
    81,468.89x = 2,725,878,757.60
  5. Step 5: Solve for x
    x = 2,725,878,757.60/81,468.89
  6. Step 6: Final answer
    x = 33,459.14

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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.