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Finding the Fourth Proportional to 209,179.69, 313,644.76 and 82,838.05

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Solution

The fourth proportional to 209,179.69, 313,644.76 and 82,838.05 is: 124,207.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,179.69 : 313,644.76 = 82,838.05 : x
  2. Step 2: Convert to fraction form
    209,179.69/313,644.76 = 82,838.05/x
  3. Step 3: Cross multiply
    209,179.69x = 313,644.76 × 82,838.05
  4. Step 4: Simplify right side
    209,179.69x = 25,981,719,319.91
  5. Step 5: Solve for x
    x = 25,981,719,319.91/209,179.69
  6. Step 6: Final answer
    x = 124,207.66

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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.