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Finding the Fourth Proportional to 129,314.80, 178,478.92 and 80,939.16

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Solution

The fourth proportional to 129,314.80, 178,478.92 and 80,939.16 is: 111,711.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,314.80 : 178,478.92 = 80,939.16 : x
  2. Step 2: Convert to fraction form
    129,314.80/178,478.92 = 80,939.16/x
  3. Step 3: Cross multiply
    129,314.80x = 178,478.92 × 80,939.16
  4. Step 4: Simplify right side
    129,314.80x = 14,445,933,862.51
  5. Step 5: Solve for x
    x = 14,445,933,862.51/129,314.80
  6. Step 6: Final answer
    x = 111,711.37

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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.