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Finding the Fourth Proportional to 206,711.90, 310,067.85 and 192,715.10

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Solution

The fourth proportional to 206,711.90, 310,067.85 and 192,715.10 is: 289,072.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,711.90 : 310,067.85 = 192,715.10 : x
  2. Step 2: Convert to fraction form
    206,711.90/310,067.85 = 192,715.10/x
  3. Step 3: Cross multiply
    206,711.90x = 310,067.85 × 192,715.10
  4. Step 4: Simplify right side
    206,711.90x = 59,754,756,719.54
  5. Step 5: Solve for x
    x = 59,754,756,719.54/206,711.90
  6. Step 6: Final answer
    x = 289,072.65

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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.