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Finding the Fourth Proportional to 206,891.91, 285,565.41 and 122,065.47

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Solution

The fourth proportional to 206,891.91, 285,565.41 and 122,065.47 is: 168,482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,891.91 : 285,565.41 = 122,065.47 : x
  2. Step 2: Convert to fraction form
    206,891.91/285,565.41 = 122,065.47/x
  3. Step 3: Cross multiply
    206,891.91x = 285,565.41 × 122,065.47
  4. Step 4: Simplify right side
    206,891.91x = 34,857,675,987.39
  5. Step 5: Solve for x
    x = 34,857,675,987.39/206,891.91
  6. Step 6: Final answer
    x = 168,482.55

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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.