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Finding the Fourth Proportional to 86,654.75, 129,982.13 and 31,250.75

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Solution

The fourth proportional to 86,654.75, 129,982.13 and 31,250.75 is: 46,876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,654.75 : 129,982.13 = 31,250.75 : x
  2. Step 2: Convert to fraction form
    86,654.75/129,982.13 = 31,250.75/x
  3. Step 3: Cross multiply
    86,654.75x = 129,982.13 × 31,250.75
  4. Step 4: Simplify right side
    86,654.75x = 4,062,039,049.10
  5. Step 5: Solve for x
    x = 4,062,039,049.10/86,654.75
  6. Step 6: Final answer
    x = 46,876.13

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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.