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Finding the Fourth Proportional to 71,934.75, 107,945.87 and 30,381.75

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Solution

The fourth proportional to 71,934.75, 107,945.87 and 30,381.75 is: 45,591.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,934.75 : 107,945.87 = 30,381.75 : x
  2. Step 2: Convert to fraction form
    71,934.75/107,945.87 = 30,381.75/x
  3. Step 3: Cross multiply
    71,934.75x = 107,945.87 × 30,381.75
  4. Step 4: Simplify right side
    71,934.75x = 3,279,584,283.96
  5. Step 5: Solve for x
    x = 3,279,584,283.96/71,934.75
  6. Step 6: Final answer
    x = 45,591.10

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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.