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Finding the Fourth Proportional to 72,309.87, 108,451.44 and 22,380.66

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Solution

The fourth proportional to 72,309.87, 108,451.44 and 22,380.66 is: 33,566.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,309.87 : 108,451.44 = 22,380.66 : x
  2. Step 2: Convert to fraction form
    72,309.87/108,451.44 = 22,380.66/x
  3. Step 3: Cross multiply
    72,309.87x = 108,451.44 × 22,380.66
  4. Step 4: Simplify right side
    72,309.87x = 2,427,214,805.15
  5. Step 5: Solve for x
    x = 2,427,214,805.15/72,309.87
  6. Step 6: Final answer
    x = 33,566.85

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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.