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Finding the Fourth Proportional to 272,033.25, 408,049.35 and 72,353.86

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Solution

The fourth proportional to 272,033.25, 408,049.35 and 72,353.86 is: 108,530.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,033.25 : 408,049.35 = 72,353.86 : x
  2. Step 2: Convert to fraction form
    272,033.25/408,049.35 = 72,353.86/x
  3. Step 3: Cross multiply
    272,033.25x = 408,049.35 × 72,353.86
  4. Step 4: Simplify right side
    272,033.25x = 29,523,944,251.54
  5. Step 5: Solve for x
    x = 29,523,944,251.54/272,033.25
  6. Step 6: Final answer
    x = 108,530.64

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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.