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Finding the Fourth Proportional to 206,542.97, 285,028.52 and 115,898.73

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Solution

The fourth proportional to 206,542.97, 285,028.52 and 115,898.73 is: 159,939.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,542.97 : 285,028.52 = 115,898.73 : x
  2. Step 2: Convert to fraction form
    206,542.97/285,028.52 = 115,898.73/x
  3. Step 3: Cross multiply
    206,542.97x = 285,028.52 × 115,898.73
  4. Step 4: Simplify right side
    206,542.97x = 33,034,443,771.53
  5. Step 5: Solve for x
    x = 33,034,443,771.53/206,542.97
  6. Step 6: Final answer
    x = 159,939.81

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1.5x scale

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.