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Finding the Fourth Proportional to 206,100, 284,418 and 116,676

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Solution

The fourth proportional to 206,100, 284,418 and 116,676 is: 161,012.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,100 : 284,418 = 116,676 : x
  2. Step 2: Convert to fraction form
    206,100/284,418 = 116,676/x
  3. Step 3: Cross multiply
    206,100x = 284,418 × 116,676
  4. Step 4: Simplify right side
    206,100x = 33,184,754,568
  5. Step 5: Solve for x
    x = 33,184,754,568/206,100
  6. Step 6: Final answer
    x = 161,012.88

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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.