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Finding the Fourth Proportional to 75,138.50, 103,691.13 and 41,604.50

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Solution

The fourth proportional to 75,138.50, 103,691.13 and 41,604.50 is: 57,414.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,138.50 : 103,691.13 = 41,604.50 : x
  2. Step 2: Convert to fraction form
    75,138.50/103,691.13 = 41,604.50/x
  3. Step 3: Cross multiply
    75,138.50x = 103,691.13 × 41,604.50
  4. Step 4: Simplify right side
    75,138.50x = 4,314,017,618.09
  5. Step 5: Solve for x
    x = 4,314,017,618.09/75,138.50
  6. Step 6: Final answer
    x = 57,414.21

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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.