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Finding the Fourth Proportional to 82,691.01, 123,893.85 and 45,278.01

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Solution

The fourth proportional to 82,691.01, 123,893.85 and 45,278.01 is: 67,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,691.01 : 123,893.85 = 45,278.01 : x
  2. Step 2: Convert to fraction form
    82,691.01/123,893.85 = 45,278.01/x
  3. Step 3: Cross multiply
    82,691.01x = 123,893.85 × 45,278.01
  4. Step 4: Simplify right side
    82,691.01x = 5,609,666,979.24
  5. Step 5: Solve for x
    x = 5,609,666,979.24/82,691.01
  6. Step 6: Final answer
    x = 67,838.90

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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.