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Finding the Fourth Proportional to 129,247.47, 178,347.87 and 71,877.48

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Solution

The fourth proportional to 129,247.47, 178,347.87 and 71,877.48 is: 99,183.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,247.47 : 178,347.87 = 71,877.48 : x
  2. Step 2: Convert to fraction form
    129,247.47/178,347.87 = 71,877.48/x
  3. Step 3: Cross multiply
    129,247.47x = 178,347.87 × 71,877.48
  4. Step 4: Simplify right side
    129,247.47x = 12,819,195,458.97
  5. Step 5: Solve for x
    x = 12,819,195,458.97/129,247.47
  6. Step 6: Final answer
    x = 99,183.34

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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.