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Finding the Fourth Proportional to 72,234.20, 108,278.40 and 32,819.60

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Solution

The fourth proportional to 72,234.20, 108,278.40 and 32,819.60 is: 49,196.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,234.20 : 108,278.40 = 32,819.60 : x
  2. Step 2: Convert to fraction form
    72,234.20/108,278.40 = 32,819.60/x
  3. Step 3: Cross multiply
    72,234.20x = 108,278.40 × 32,819.60
  4. Step 4: Simplify right side
    72,234.20x = 3,553,653,776.64
  5. Step 5: Solve for x
    x = 3,553,653,776.64/72,234.20
  6. Step 6: Final answer
    x = 49,196.28

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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.