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Finding the Fourth Proportional to 209,744.20, 313,960.20 and 165,129.40

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Solution

The fourth proportional to 209,744.20, 313,960.20 and 165,129.40 is: 247,177.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,744.20 : 313,960.20 = 165,129.40 : x
  2. Step 2: Convert to fraction form
    209,744.20/313,960.20 = 165,129.40/x
  3. Step 3: Cross multiply
    209,744.20x = 313,960.20 × 165,129.40
  4. Step 4: Simplify right side
    209,744.20x = 51,844,059,449.88
  5. Step 5: Solve for x
    x = 51,844,059,449.88/209,744.20
  6. Step 6: Final answer
    x = 247,177.56

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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.