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Finding the Fourth Proportional to 49,645.92, 74,469.84 and 39,739.20

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Solution

The fourth proportional to 49,645.92, 74,469.84 and 39,739.20 is: 59,609.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,645.92 : 74,469.84 = 39,739.20 : x
  2. Step 2: Convert to fraction form
    49,645.92/74,469.84 = 39,739.20/x
  3. Step 3: Cross multiply
    49,645.92x = 74,469.84 × 39,739.20
  4. Step 4: Simplify right side
    49,645.92x = 2,959,371,865.73
  5. Step 5: Solve for x
    x = 2,959,371,865.73/49,645.92
  6. Step 6: Final answer
    x = 59,609.57

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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.