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Finding the Fourth Proportional to 75,336.57, 103,978.80 and 49,843.44

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Solution

The fourth proportional to 75,336.57, 103,978.80 and 49,843.44 is: 68,793.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,336.57 : 103,978.80 = 49,843.44 : x
  2. Step 2: Convert to fraction form
    75,336.57/103,978.80 = 49,843.44/x
  3. Step 3: Cross multiply
    75,336.57x = 103,978.80 × 49,843.44
  4. Step 4: Simplify right side
    75,336.57x = 5,182,661,079.07
  5. Step 5: Solve for x
    x = 5,182,661,079.07/75,336.57
  6. Step 6: Final answer
    x = 68,793.43

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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.