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Finding the Fourth Proportional to 206,825.80, 309,910.65 and 136,623.10

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Solution

The fourth proportional to 206,825.80, 309,910.65 and 136,623.10 is: 204,717.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,825.80 : 309,910.65 = 136,623.10 : x
  2. Step 2: Convert to fraction form
    206,825.80/309,910.65 = 136,623.10/x
  3. Step 3: Cross multiply
    206,825.80x = 309,910.65 × 136,623.10
  4. Step 4: Simplify right side
    206,825.80x = 42,340,953,726.02
  5. Step 5: Solve for x
    x = 42,340,953,726.02/206,825.80
  6. Step 6: Final answer
    x = 204,717.95

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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.