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Finding the Fourth Proportional to 81,882.60, 122,823.90 and 22,718.28

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Solution

The fourth proportional to 81,882.60, 122,823.90 and 22,718.28 is: 34,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,882.60 : 122,823.90 = 22,718.28 : x
  2. Step 2: Convert to fraction form
    81,882.60/122,823.90 = 22,718.28/x
  3. Step 3: Cross multiply
    81,882.60x = 122,823.90 × 22,718.28
  4. Step 4: Simplify right side
    81,882.60x = 2,790,347,750.89
  5. Step 5: Solve for x
    x = 2,790,347,750.89/81,882.60
  6. Step 6: Final answer
    x = 34,077.42

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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.