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Finding the Fourth Proportional to 75,165, 103,731 and 41,631

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Solution

The fourth proportional to 75,165, 103,731 and 41,631 is: 57,452.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,165 : 103,731 = 41,631 : x
  2. Step 2: Convert to fraction form
    75,165/103,731 = 41,631/x
  3. Step 3: Cross multiply
    75,165x = 103,731 × 41,631
  4. Step 4: Simplify right side
    75,165x = 4,318,425,261
  5. Step 5: Solve for x
    x = 4,318,425,261/75,165
  6. Step 6: Final answer
    x = 57,452.61

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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.