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Finding the Fourth Proportional to 178,213.52, 267,319.80 and 79,648.40

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Solution

The fourth proportional to 178,213.52, 267,319.80 and 79,648.40 is: 119,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,213.52 : 267,319.80 = 79,648.40 : x
  2. Step 2: Convert to fraction form
    178,213.52/267,319.80 = 79,648.40/x
  3. Step 3: Cross multiply
    178,213.52x = 267,319.80 × 79,648.40
  4. Step 4: Simplify right side
    178,213.52x = 21,291,594,358.32
  5. Step 5: Solve for x
    x = 21,291,594,358.32/178,213.52
  6. Step 6: Final answer
    x = 119,472.39

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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.