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Finding the Fourth Proportional to 49,306.32, 73,978.92 and 18,144

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Solution

The fourth proportional to 49,306.32, 73,978.92 and 18,144 is: 27,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,306.32 : 73,978.92 = 18,144 : x
  2. Step 2: Convert to fraction form
    49,306.32/73,978.92 = 18,144/x
  3. Step 3: Cross multiply
    49,306.32x = 73,978.92 × 18,144
  4. Step 4: Simplify right side
    49,306.32x = 1,342,273,524.48
  5. Step 5: Solve for x
    x = 1,342,273,524.48/49,306.32
  6. Step 6: Final answer
    x = 27,223.15

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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.