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Finding the Fourth Proportional to 206,600.94, 285,105.54 and 115,949.78

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Solution

The fourth proportional to 206,600.94, 285,105.54 and 115,949.78 is: 160,008.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,600.94 : 285,105.54 = 115,949.78 : x
  2. Step 2: Convert to fraction form
    206,600.94/285,105.54 = 115,949.78/x
  3. Step 3: Cross multiply
    206,600.94x = 285,105.54 × 115,949.78
  4. Step 4: Simplify right side
    206,600.94x = 33,057,924,639.78
  5. Step 5: Solve for x
    x = 33,057,924,639.78/206,600.94
  6. Step 6: Final answer
    x = 160,008.59

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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.