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Finding the Fourth Proportional to 90,082.32, 124,309.68 and 49,794

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Solution

The fourth proportional to 90,082.32, 124,309.68 and 49,794 is: 68,713.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,082.32 : 124,309.68 = 49,794 : x
  2. Step 2: Convert to fraction form
    90,082.32/124,309.68 = 49,794/x
  3. Step 3: Cross multiply
    90,082.32x = 124,309.68 × 49,794
  4. Step 4: Simplify right side
    90,082.32x = 6,189,876,205.92
  5. Step 5: Solve for x
    x = 6,189,876,205.92/90,082.32
  6. Step 6: Final answer
    x = 68,713.55

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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.