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Finding the Fourth Proportional to 78,800, 108,745.44 and 45,273.92

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Solution

The fourth proportional to 78,800, 108,745.44 and 45,273.92 is: 62,478.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,800 : 108,745.44 = 45,273.92 : x
  2. Step 2: Convert to fraction form
    78,800/108,745.44 = 45,273.92/x
  3. Step 3: Cross multiply
    78,800x = 108,745.44 × 45,273.92
  4. Step 4: Simplify right side
    78,800x = 4,923,332,350.92
  5. Step 5: Solve for x
    x = 4,923,332,350.92/78,800
  6. Step 6: Final answer
    x = 62,478.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.