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Finding the Fourth Proportional to 129,013.84, 178,029.27 and 72,414.28

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Solution

The fourth proportional to 129,013.84, 178,029.27 and 72,414.28 is: 99,926.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,013.84 : 178,029.27 = 72,414.28 : x
  2. Step 2: Convert to fraction form
    129,013.84/178,029.27 = 72,414.28/x
  3. Step 3: Cross multiply
    129,013.84x = 178,029.27 × 72,414.28
  4. Step 4: Simplify right side
    129,013.84x = 12,891,861,405.98
  5. Step 5: Solve for x
    x = 12,891,861,405.98/129,013.84
  6. Step 6: Final answer
    x = 99,926.19

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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.