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Finding the Fourth Proportional to 204,987, 282,882.12 and 115,563

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Solution

The fourth proportional to 204,987, 282,882.12 and 115,563 is: 159,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,987 : 282,882.12 = 115,563 : x
  2. Step 2: Convert to fraction form
    204,987/282,882.12 = 115,563/x
  3. Step 3: Cross multiply
    204,987x = 282,882.12 × 115,563
  4. Step 4: Simplify right side
    204,987x = 32,690,706,433.56
  5. Step 5: Solve for x
    x = 32,690,706,433.56/204,987
  6. Step 6: Final answer
    x = 159,476.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.