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Finding the Fourth Proportional to 49,102.56, 67,759.20 and 27,879

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Solution

The fourth proportional to 49,102.56, 67,759.20 and 27,879 is: 38,471.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,102.56 : 67,759.20 = 27,879 : x
  2. Step 2: Convert to fraction form
    49,102.56/67,759.20 = 27,879/x
  3. Step 3: Cross multiply
    49,102.56x = 67,759.20 × 27,879
  4. Step 4: Simplify right side
    49,102.56x = 1,889,058,736.80
  5. Step 5: Solve for x
    x = 1,889,058,736.80/49,102.56
  6. Step 6: Final answer
    x = 38,471.70

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1.5x scale

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.