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Finding the Fourth Proportional to 49,149.86, 73,724.83 and 12,213.86

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Solution

The fourth proportional to 49,149.86, 73,724.83 and 12,213.86 is: 18,320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,149.86 : 73,724.83 = 12,213.86 : x
  2. Step 2: Convert to fraction form
    49,149.86/73,724.83 = 12,213.86/x
  3. Step 3: Cross multiply
    49,149.86x = 73,724.83 × 12,213.86
  4. Step 4: Simplify right side
    49,149.86x = 900,464,352.99
  5. Step 5: Solve for x
    x = 900,464,352.99/49,149.86
  6. Step 6: Final answer
    x = 18,320.79

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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.