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Finding the Fourth Proportional to 178,171.92, 267,231.96 and 67,338

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Solution

The fourth proportional to 178,171.92, 267,231.96 and 67,338 is: 100,997.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,171.92 : 267,231.96 = 67,338 : x
  2. Step 2: Convert to fraction form
    178,171.92/267,231.96 = 67,338/x
  3. Step 3: Cross multiply
    178,171.92x = 267,231.96 × 67,338
  4. Step 4: Simplify right side
    178,171.92x = 17,994,865,722.48
  5. Step 5: Solve for x
    x = 17,994,865,722.48/178,171.92
  6. Step 6: Final answer
    x = 100,997.20

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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.