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Finding the Fourth Proportional to 206,373.66, 309,560.49 and 165,083.10

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Solution

The fourth proportional to 206,373.66, 309,560.49 and 165,083.10 is: 247,624.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,373.66 : 309,560.49 = 165,083.10 : x
  2. Step 2: Convert to fraction form
    206,373.66/309,560.49 = 165,083.10/x
  3. Step 3: Cross multiply
    206,373.66x = 309,560.49 × 165,083.10
  4. Step 4: Simplify right side
    206,373.66x = 51,103,205,326.72
  5. Step 5: Solve for x
    x = 51,103,205,326.72/206,373.66
  6. Step 6: Final answer
    x = 247,624.65

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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.