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Finding the Fourth Proportional to 50,342, 69,471.96 and 27,990.32

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Solution

The fourth proportional to 50,342, 69,471.96 and 27,990.32 is: 38,626.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,342 : 69,471.96 = 27,990.32 : x
  2. Step 2: Convert to fraction form
    50,342/69,471.96 = 27,990.32/x
  3. Step 3: Cross multiply
    50,342x = 69,471.96 × 27,990.32
  4. Step 4: Simplify right side
    50,342x = 1,944,542,391.43
  5. Step 5: Solve for x
    x = 1,944,542,391.43/50,342
  6. Step 6: Final answer
    x = 38,626.64

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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.