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Finding the Fourth Proportional to 82,414.20, 123,659.70 and 61,678.20

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Solution

The fourth proportional to 82,414.20, 123,659.70 and 61,678.20 is: 92,546.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,414.20 : 123,659.70 = 61,678.20 : x
  2. Step 2: Convert to fraction form
    82,414.20/123,659.70 = 61,678.20/x
  3. Step 3: Cross multiply
    82,414.20x = 123,659.70 × 61,678.20
  4. Step 4: Simplify right side
    82,414.20x = 7,627,107,708.54
  5. Step 5: Solve for x
    x = 7,627,107,708.54/82,414.20
  6. Step 6: Final answer
    x = 92,546.04

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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.