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Finding the Fourth Proportional to 218,352.78, 327,418.34 and 99,922.68

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Solution

The fourth proportional to 218,352.78, 327,418.34 and 99,922.68 is: 149,833.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,352.78 : 327,418.34 = 99,922.68 : x
  2. Step 2: Convert to fraction form
    218,352.78/327,418.34 = 99,922.68/x
  3. Step 3: Cross multiply
    218,352.78x = 327,418.34 × 99,922.68
  4. Step 4: Simplify right side
    218,352.78x = 32,716,517,514.34
  5. Step 5: Solve for x
    x = 32,716,517,514.34/218,352.78
  6. Step 6: Final answer
    x = 149,833.30

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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.