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Finding the Fourth Proportional to 82,378.50, 113,375.88 and 67,922.70

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Solution

The fourth proportional to 82,378.50, 113,375.88 and 67,922.70 is: 93,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,378.50 : 113,375.88 = 67,922.70 : x
  2. Step 2: Convert to fraction form
    82,378.50/113,375.88 = 67,922.70/x
  3. Step 3: Cross multiply
    82,378.50x = 113,375.88 × 67,922.70
  4. Step 4: Simplify right side
    82,378.50x = 7,700,795,884.48
  5. Step 5: Solve for x
    x = 7,700,795,884.48/82,378.50
  6. Step 6: Final answer
    x = 93,480.65

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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.