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Finding the Fourth Proportional to 206,561.69, 285,067.70 and 115,923.45

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Solution

The fourth proportional to 206,561.69, 285,067.70 and 115,923.45 is: 159,981.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,561.69 : 285,067.70 = 115,923.45 : x
  2. Step 2: Convert to fraction form
    206,561.69/285,067.70 = 115,923.45/x
  3. Step 3: Cross multiply
    206,561.69x = 285,067.70 × 115,923.45
  4. Step 4: Simplify right side
    206,561.69x = 33,046,032,843.73
  5. Step 5: Solve for x
    x = 33,046,032,843.73/206,561.69
  6. Step 6: Final answer
    x = 159,981.42

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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.