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Finding the Fourth Proportional to 82,608.80, 123,913.20 and 78,344.15

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Solution

The fourth proportional to 82,608.80, 123,913.20 and 78,344.15 is: 117,516.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,608.80 : 123,913.20 = 78,344.15 : x
  2. Step 2: Convert to fraction form
    82,608.80/123,913.20 = 78,344.15/x
  3. Step 3: Cross multiply
    82,608.80x = 123,913.20 × 78,344.15
  4. Step 4: Simplify right side
    82,608.80x = 9,707,874,327.78
  5. Step 5: Solve for x
    x = 9,707,874,327.78/82,608.80
  6. Step 6: Final answer
    x = 117,516.23

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.