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Finding the Fourth Proportional to 206,121.89, 308,780.17 and 142,068.65

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Solution

The fourth proportional to 206,121.89, 308,780.17 and 142,068.65 is: 212,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,121.89 : 308,780.17 = 142,068.65 : x
  2. Step 2: Convert to fraction form
    206,121.89/308,780.17 = 142,068.65/x
  3. Step 3: Cross multiply
    206,121.89x = 308,780.17 × 142,068.65
  4. Step 4: Simplify right side
    206,121.89x = 43,867,981,898.67
  5. Step 5: Solve for x
    x = 43,867,981,898.67/206,121.89
  6. Step 6: Final answer
    x = 212,825.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.