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Finding the Fourth Proportional to 218,559.85, 327,610.13 and 100,133.80

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Solution

The fourth proportional to 218,559.85, 327,610.13 and 100,133.80 is: 150,095.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,559.85 : 327,610.13 = 100,133.80 : x
  2. Step 2: Convert to fraction form
    218,559.85/327,610.13 = 100,133.80/x
  3. Step 3: Cross multiply
    218,559.85x = 327,610.13 × 100,133.80
  4. Step 4: Simplify right side
    218,559.85x = 32,804,845,915.70
  5. Step 5: Solve for x
    x = 32,804,845,915.70/218,559.85
  6. Step 6: Final answer
    x = 150,095.48

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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.