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Finding the Fourth Proportional to 50,342, 69,472.20 and 27,986

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Solution

The fourth proportional to 50,342, 69,472.20 and 27,986 is: 38,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,342 : 69,472.20 = 27,986 : x
  2. Step 2: Convert to fraction form
    50,342/69,472.20 = 27,986/x
  3. Step 3: Cross multiply
    50,342x = 69,472.20 × 27,986
  4. Step 4: Simplify right side
    50,342x = 1,944,248,989.20
  5. Step 5: Solve for x
    x = 1,944,248,989.20/50,342
  6. Step 6: Final answer
    x = 38,620.81

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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.