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Finding the Fourth Proportional to 129,252.78, 178,370.10 and 78,951.78

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Solution

The fourth proportional to 129,252.78, 178,370.10 and 78,951.78 is: 108,954.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,252.78 : 178,370.10 = 78,951.78 : x
  2. Step 2: Convert to fraction form
    129,252.78/178,370.10 = 78,951.78/x
  3. Step 3: Cross multiply
    129,252.78x = 178,370.10 × 78,951.78
  4. Step 4: Simplify right side
    129,252.78x = 14,082,636,893.78
  5. Step 5: Solve for x
    x = 14,082,636,893.78/129,252.78
  6. Step 6: Final answer
    x = 108,954.23

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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.