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Finding the Fourth Proportional to 209,167.20, 313,621.20 and 120,376.80

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Solution

The fourth proportional to 209,167.20, 313,621.20 and 120,376.80 is: 180,490.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,167.20 : 313,621.20 = 120,376.80 : x
  2. Step 2: Convert to fraction form
    209,167.20/313,621.20 = 120,376.80/x
  3. Step 3: Cross multiply
    209,167.20x = 313,621.20 × 120,376.80
  4. Step 4: Simplify right side
    209,167.20x = 37,752,716,468.16
  5. Step 5: Solve for x
    x = 37,752,716,468.16/209,167.20
  6. Step 6: Final answer
    x = 180,490.61

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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.