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Finding the Fourth Proportional to 72,198.72, 108,297.36 and 54,775.44

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Solution

The fourth proportional to 72,198.72, 108,297.36 and 54,775.44 is: 82,162.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,198.72 : 108,297.36 = 54,775.44 : x
  2. Step 2: Convert to fraction form
    72,198.72/108,297.36 = 54,775.44/x
  3. Step 3: Cross multiply
    72,198.72x = 108,297.36 × 54,775.44
  4. Step 4: Simplify right side
    72,198.72x = 5,932,035,544.84
  5. Step 5: Solve for x
    x = 5,932,035,544.84/72,198.72
  6. Step 6: Final answer
    x = 82,162.61

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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.