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Finding the Fourth Proportional to 91,722.40, 137,324.40 and 82,391.20

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Solution

The fourth proportional to 91,722.40, 137,324.40 and 82,391.20 is: 123,353.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,722.40 : 137,324.40 = 82,391.20 : x
  2. Step 2: Convert to fraction form
    91,722.40/137,324.40 = 82,391.20/x
  3. Step 3: Cross multiply
    91,722.40x = 137,324.40 × 82,391.20
  4. Step 4: Simplify right side
    91,722.40x = 11,314,322,105.28
  5. Step 5: Solve for x
    x = 11,314,322,105.28/91,722.40
  6. Step 6: Final answer
    x = 123,353.97

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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.