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Finding the Fourth Proportional to 49,149.75, 73,724.63 and 12,213.75

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Solution

The fourth proportional to 49,149.75, 73,724.63 and 12,213.75 is: 18,320.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,149.75 : 73,724.63 = 12,213.75 : x
  2. Step 2: Convert to fraction form
    49,149.75/73,724.63 = 12,213.75/x
  3. Step 3: Cross multiply
    49,149.75x = 73,724.63 × 12,213.75
  4. Step 4: Simplify right side
    49,149.75x = 900,454,199.66
  5. Step 5: Solve for x
    x = 900,454,199.66/49,149.75
  6. Step 6: Final answer
    x = 18,320.63

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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.