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Finding the Fourth Proportional to 90,993.87, 125,694 and 82,505.61

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Solution

The fourth proportional to 90,993.87, 125,694 and 82,505.61 is: 113,968.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,993.87 : 125,694 = 82,505.61 : x
  2. Step 2: Convert to fraction form
    90,993.87/125,694 = 82,505.61/x
  3. Step 3: Cross multiply
    90,993.87x = 125,694 × 82,505.61
  4. Step 4: Simplify right side
    90,993.87x = 10,370,460,143.34
  5. Step 5: Solve for x
    x = 10,370,460,143.34/90,993.87
  6. Step 6: Final answer
    x = 113,968.78

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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.