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Finding the Fourth Proportional to 49,159, 73,738.78 and 12,223

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Solution

The fourth proportional to 49,159, 73,738.78 and 12,223 is: 18,334.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,159 : 73,738.78 = 12,223 : x
  2. Step 2: Convert to fraction form
    49,159/73,738.78 = 12,223/x
  3. Step 3: Cross multiply
    49,159x = 73,738.78 × 12,223
  4. Step 4: Simplify right side
    49,159x = 901,309,107.94
  5. Step 5: Solve for x
    x = 901,309,107.94/49,159
  6. Step 6: Final answer
    x = 18,334.57

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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.