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Finding the Fourth Proportional to 206,961.92, 285,605.76 and 117,536

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Solution

The fourth proportional to 206,961.92, 285,605.76 and 117,536 is: 162,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,961.92 : 285,605.76 = 117,536 : x
  2. Step 2: Convert to fraction form
    206,961.92/285,605.76 = 117,536/x
  3. Step 3: Cross multiply
    206,961.92x = 285,605.76 × 117,536
  4. Step 4: Simplify right side
    206,961.92x = 33,568,958,607.36
  5. Step 5: Solve for x
    x = 33,568,958,607.36/206,961.92
  6. Step 6: Final answer
    x = 162,198.72

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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.