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Finding the Fourth Proportional to 80,972.67, 111,742.44 and 45,165

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Solution

The fourth proportional to 80,972.67, 111,742.44 and 45,165 is: 62,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,972.67 : 111,742.44 = 45,165 : x
  2. Step 2: Convert to fraction form
    80,972.67/111,742.44 = 45,165/x
  3. Step 3: Cross multiply
    80,972.67x = 111,742.44 × 45,165
  4. Step 4: Simplify right side
    80,972.67x = 5,046,847,302.60
  5. Step 5: Solve for x
    x = 5,046,847,302.60/80,972.67
  6. Step 6: Final answer
    x = 62,327.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.