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Finding the Fourth Proportional to 218,466.30, 327,736.80 and 100,147.80

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Solution

The fourth proportional to 218,466.30, 327,736.80 and 100,147.80 is: 150,238.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,466.30 : 327,736.80 = 100,147.80 : x
  2. Step 2: Convert to fraction form
    218,466.30/327,736.80 = 100,147.80/x
  3. Step 3: Cross multiply
    218,466.30x = 327,736.80 × 100,147.80
  4. Step 4: Simplify right side
    218,466.30x = 32,822,119,499.04
  5. Step 5: Solve for x
    x = 32,822,119,499.04/218,466.30
  6. Step 6: Final answer
    x = 150,238.82

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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.