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Finding the Fourth Proportional to 178,221.72, 267,288.84 and 78,407.04

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Solution

The fourth proportional to 178,221.72, 267,288.84 and 78,407.04 is: 117,591.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,221.72 : 267,288.84 = 78,407.04 : x
  2. Step 2: Convert to fraction form
    178,221.72/267,288.84 = 78,407.04/x
  3. Step 3: Cross multiply
    178,221.72x = 267,288.84 × 78,407.04
  4. Step 4: Simplify right side
    178,221.72x = 20,957,326,769.43
  5. Step 5: Solve for x
    x = 20,957,326,769.43/178,221.72
  6. Step 6: Final answer
    x = 117,591.32

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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.