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Finding the Fourth Proportional to 129,314.70, 178,412.70 and 78,311.10

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Solution

The fourth proportional to 129,314.70, 178,412.70 and 78,311.10 is: 108,044.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,314.70 : 178,412.70 = 78,311.10 : x
  2. Step 2: Convert to fraction form
    129,314.70/178,412.70 = 78,311.10/x
  3. Step 3: Cross multiply
    129,314.70x = 178,412.70 × 78,311.10
  4. Step 4: Simplify right side
    129,314.70x = 13,971,694,790.97
  5. Step 5: Solve for x
    x = 13,971,694,790.97/129,314.70
  6. Step 6: Final answer
    x = 108,044.13

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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.