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Finding the Fourth Proportional to 218,151.20, 327,209.52 and 77,895.20

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Solution

The fourth proportional to 218,151.20, 327,209.52 and 77,895.20 is: 116,836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,151.20 : 327,209.52 = 77,895.20 : x
  2. Step 2: Convert to fraction form
    218,151.20/327,209.52 = 77,895.20/x
  3. Step 3: Cross multiply
    218,151.20x = 327,209.52 × 77,895.20
  4. Step 4: Simplify right side
    218,151.20x = 25,488,051,002.30
  5. Step 5: Solve for x
    x = 25,488,051,002.30/218,151.20
  6. Step 6: Final answer
    x = 116,836.63

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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.