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Finding the Fourth Proportional to 81,844.50, 122,766.40 and 22,680

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Solution

The fourth proportional to 81,844.50, 122,766.40 and 22,680 is: 34,019.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,844.50 : 122,766.40 = 22,680 : x
  2. Step 2: Convert to fraction form
    81,844.50/122,766.40 = 22,680/x
  3. Step 3: Cross multiply
    81,844.50x = 122,766.40 × 22,680
  4. Step 4: Simplify right side
    81,844.50x = 2,784,341,952
  5. Step 5: Solve for x
    x = 2,784,341,952/81,844.50
  6. Step 6: Final answer
    x = 34,019.90

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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.