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Finding the Fourth Proportional to 178,341.76, 267,434.88 and 67,456

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Solution

The fourth proportional to 178,341.76, 267,434.88 and 67,456 is: 101,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,341.76 : 267,434.88 = 67,456 : x
  2. Step 2: Convert to fraction form
    178,341.76/267,434.88 = 67,456/x
  3. Step 3: Cross multiply
    178,341.76x = 267,434.88 × 67,456
  4. Step 4: Simplify right side
    178,341.76x = 18,040,087,265.28
  5. Step 5: Solve for x
    x = 18,040,087,265.28/178,341.76
  6. Step 6: Final answer
    x = 101,154.59

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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.