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Finding the Fourth Proportional to 82,351, 123,691.80 and 49,135.88

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Solution

The fourth proportional to 82,351, 123,691.80 and 49,135.88 is: 73,802.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,351 : 123,691.80 = 49,135.88 : x
  2. Step 2: Convert to fraction form
    82,351/123,691.80 = 49,135.88/x
  3. Step 3: Cross multiply
    82,351x = 123,691.80 × 49,135.88
  4. Step 4: Simplify right side
    82,351x = 6,077,705,441.78
  5. Step 5: Solve for x
    x = 6,077,705,441.78/82,351
  6. Step 6: Final answer
    x = 73,802.45

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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.