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Finding the Fourth Proportional to 218,470.30, 327,742.80 and 100,151.80

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Solution

The fourth proportional to 218,470.30, 327,742.80 and 100,151.80 is: 150,244.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,470.30 : 327,742.80 = 100,151.80 : x
  2. Step 2: Convert to fraction form
    218,470.30/327,742.80 = 100,151.80/x
  3. Step 3: Cross multiply
    218,470.30x = 327,742.80 × 100,151.80
  4. Step 4: Simplify right side
    218,470.30x = 32,824,031,357.04
  5. Step 5: Solve for x
    x = 32,824,031,357.04/218,470.30
  6. Step 6: Final answer
    x = 150,244.82

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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.