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Finding the Fourth Proportional to 129,031.67, 178,078.01 and 75,329.88

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Solution

The fourth proportional to 129,031.67, 178,078.01 and 75,329.88 is: 103,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,031.67 : 178,078.01 = 75,329.88 : x
  2. Step 2: Convert to fraction form
    129,031.67/178,078.01 = 75,329.88/x
  3. Step 3: Cross multiply
    129,031.67x = 178,078.01 × 75,329.88
  4. Step 4: Simplify right side
    129,031.67x = 13,414,594,747.29
  5. Step 5: Solve for x
    x = 13,414,594,747.29/129,031.67
  6. Step 6: Final answer
    x = 103,963.59

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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.