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Finding the Fourth Proportional to 120,078.79, 180,121.83 and 41,191.88

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Solution

The fourth proportional to 120,078.79, 180,121.83 and 41,191.88 is: 61,789.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,078.79 : 180,121.83 = 41,191.88 : x
  2. Step 2: Convert to fraction form
    120,078.79/180,121.83 = 41,191.88/x
  3. Step 3: Cross multiply
    120,078.79x = 180,121.83 × 41,191.88
  4. Step 4: Simplify right side
    120,078.79x = 7,419,555,751.66
  5. Step 5: Solve for x
    x = 7,419,555,751.66/120,078.79
  6. Step 6: Final answer
    x = 61,789.06

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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.