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Finding the Fourth Proportional to 120,046.25, 180,096.72 and 41,155.70

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Solution

The fourth proportional to 120,046.25, 180,096.72 and 41,155.70 is: 61,742.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,046.25 : 180,096.72 = 41,155.70 : x
  2. Step 2: Convert to fraction form
    120,046.25/180,096.72 = 41,155.70/x
  3. Step 3: Cross multiply
    120,046.25x = 180,096.72 × 41,155.70
  4. Step 4: Simplify right side
    120,046.25x = 7,412,005,524.49
  5. Step 5: Solve for x
    x = 7,412,005,524.49/120,046.25
  6. Step 6: Final answer
    x = 61,742.91

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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.