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Finding the Fourth Proportional to 206,162, 284,503.56 and 116,755.28

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Solution

The fourth proportional to 206,162, 284,503.56 and 116,755.28 is: 161,122.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,162 : 284,503.56 = 116,755.28 : x
  2. Step 2: Convert to fraction form
    206,162/284,503.56 = 116,755.28/x
  3. Step 3: Cross multiply
    206,162x = 284,503.56 × 116,755.28
  4. Step 4: Simplify right side
    206,162x = 33,217,292,808.80
  5. Step 5: Solve for x
    x = 33,217,292,808.80/206,162
  6. Step 6: Final answer
    x = 161,122.29

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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.