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Finding the Fourth Proportional to 206,545.51, 285,043.17 and 129,067.95

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Solution

The fourth proportional to 206,545.51, 285,043.17 and 129,067.95 is: 178,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,545.51 : 285,043.17 = 129,067.95 : x
  2. Step 2: Convert to fraction form
    206,545.51/285,043.17 = 129,067.95/x
  3. Step 3: Cross multiply
    206,545.51x = 285,043.17 × 129,067.95
  4. Step 4: Simplify right side
    206,545.51x = 36,789,939,166.32
  5. Step 5: Solve for x
    x = 36,789,939,166.32/206,545.51
  6. Step 6: Final answer
    x = 178,120.26

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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.