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Finding the Fourth Proportional to 206,377.66, 309,566.49 and 165,087.10

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Solution

The fourth proportional to 206,377.66, 309,566.49 and 165,087.10 is: 247,630.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,377.66 : 309,566.49 = 165,087.10 : x
  2. Step 2: Convert to fraction form
    206,377.66/309,566.49 = 165,087.10/x
  3. Step 3: Cross multiply
    206,377.66x = 309,566.49 × 165,087.10
  4. Step 4: Simplify right side
    206,377.66x = 51,105,434,091.28
  5. Step 5: Solve for x
    x = 51,105,434,091.28/206,377.66
  6. Step 6: Final answer
    x = 247,630.65

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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.