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Finding the Fourth Proportional to 71,894.56, 107,805 and 38,642.60

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Solution

The fourth proportional to 71,894.56, 107,805 and 38,642.60 is: 57,944.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,894.56 : 107,805 = 38,642.60 : x
  2. Step 2: Convert to fraction form
    71,894.56/107,805 = 38,642.60/x
  3. Step 3: Cross multiply
    71,894.56x = 107,805 × 38,642.60
  4. Step 4: Simplify right side
    71,894.56x = 4,165,865,493
  5. Step 5: Solve for x
    x = 4,165,865,493/71,894.56
  6. Step 6: Final answer
    x = 57,944.10

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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.