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Finding the Fourth Proportional to 49,449.78, 74,169.20 and 13,912.22

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Solution

The fourth proportional to 49,449.78, 74,169.20 and 13,912.22 is: 20,866.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,449.78 : 74,169.20 = 13,912.22 : x
  2. Step 2: Convert to fraction form
    49,449.78/74,169.20 = 13,912.22/x
  3. Step 3: Cross multiply
    49,449.78x = 74,169.20 × 13,912.22
  4. Step 4: Simplify right side
    49,449.78x = 1,031,858,447.83
  5. Step 5: Solve for x
    x = 1,031,858,447.83/49,449.78
  6. Step 6: Final answer
    x = 20,866.80

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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.