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Finding the Fourth Proportional to 81,951.22, 122,747 and 67,750.30

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Solution

The fourth proportional to 81,951.22, 122,747 and 67,750.30 is: 101,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,951.22 : 122,747 = 67,750.30 : x
  2. Step 2: Convert to fraction form
    81,951.22/122,747 = 67,750.30/x
  3. Step 3: Cross multiply
    81,951.22x = 122,747 × 67,750.30
  4. Step 4: Simplify right side
    81,951.22x = 8,316,146,074.10
  5. Step 5: Solve for x
    x = 8,316,146,074.10/81,951.22
  6. Step 6: Final answer
    x = 101,476.78

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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.