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Finding the Fourth Proportional to 75,311.38, 103,931.14 and 41,321.62

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Solution

The fourth proportional to 75,311.38, 103,931.14 and 41,321.62 is: 57,024.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,311.38 : 103,931.14 = 41,321.62 : x
  2. Step 2: Convert to fraction form
    75,311.38/103,931.14 = 41,321.62/x
  3. Step 3: Cross multiply
    75,311.38x = 103,931.14 × 41,321.62
  4. Step 4: Simplify right side
    75,311.38x = 4,294,603,073.25
  5. Step 5: Solve for x
    x = 4,294,603,073.25/75,311.38
  6. Step 6: Final answer
    x = 57,024.62

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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.