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Finding the Fourth Proportional to 90,082, 135,121.92 and 84,601.56

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Solution

The fourth proportional to 90,082, 135,121.92 and 84,601.56 is: 126,901.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,082 : 135,121.92 = 84,601.56 : x
  2. Step 2: Convert to fraction form
    90,082/135,121.92 = 84,601.56/x
  3. Step 3: Cross multiply
    90,082x = 135,121.92 × 84,601.56
  4. Step 4: Simplify right side
    90,082x = 11,431,525,222.20
  5. Step 5: Solve for x
    x = 11,431,525,222.20/90,082
  6. Step 6: Final answer
    x = 126,901.33

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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.