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Finding the Fourth Proportional to 120,081.91, 180,126.51 and 41,195

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Solution

The fourth proportional to 120,081.91, 180,126.51 and 41,195 is: 61,793.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,081.91 : 180,126.51 = 41,195 : x
  2. Step 2: Convert to fraction form
    120,081.91/180,126.51 = 41,195/x
  3. Step 3: Cross multiply
    120,081.91x = 180,126.51 × 41,195
  4. Step 4: Simplify right side
    120,081.91x = 7,420,311,579.45
  5. Step 5: Solve for x
    x = 7,420,311,579.45/120,081.91
  6. Step 6: Final answer
    x = 61,793.75

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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.