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Finding the Fourth Proportional to 204,917, 282,794.10 and 115,493

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Solution

The fourth proportional to 204,917, 282,794.10 and 115,493 is: 159,385.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,917 : 282,794.10 = 115,493 : x
  2. Step 2: Convert to fraction form
    204,917/282,794.10 = 115,493/x
  3. Step 3: Cross multiply
    204,917x = 282,794.10 × 115,493
  4. Step 4: Simplify right side
    204,917x = 32,660,738,991.30
  5. Step 5: Solve for x
    x = 32,660,738,991.30/204,917
  6. Step 6: Final answer
    x = 159,385.21

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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.