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Finding the Fourth Proportional to 209,042.20, 313,433.70 and 120,251.80

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Solution

The fourth proportional to 209,042.20, 313,433.70 and 120,251.80 is: 180,303.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,042.20 : 313,433.70 = 120,251.80 : x
  2. Step 2: Convert to fraction form
    209,042.20/313,433.70 = 120,251.80/x
  3. Step 3: Cross multiply
    209,042.20x = 313,433.70 × 120,251.80
  4. Step 4: Simplify right side
    209,042.20x = 37,690,966,605.66
  5. Step 5: Solve for x
    x = 37,690,966,605.66/209,042.20
  6. Step 6: Final answer
    x = 180,303.15

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1.5x scale

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.