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Finding the Fourth Proportional to 129,481.34, 178,689.10 and 71,340.47

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Solution

The fourth proportional to 129,481.34, 178,689.10 and 71,340.47 is: 98,452.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,481.34 : 178,689.10 = 71,340.47 : x
  2. Step 2: Convert to fraction form
    129,481.34/178,689.10 = 71,340.47/x
  3. Step 3: Cross multiply
    129,481.34x = 178,689.10 × 71,340.47
  4. Step 4: Simplify right side
    129,481.34x = 12,747,764,243.69
  5. Step 5: Solve for x
    x = 12,747,764,243.69/129,481.34
  6. Step 6: Final answer
    x = 98,452.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.