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Finding the Fourth Proportional to 72,198.16, 108,318 and 36,658.08

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Solution

The fourth proportional to 72,198.16, 108,318 and 36,658.08 is: 54,997.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,198.16 : 108,318 = 36,658.08 : x
  2. Step 2: Convert to fraction form
    72,198.16/108,318 = 36,658.08/x
  3. Step 3: Cross multiply
    72,198.16x = 108,318 × 36,658.08
  4. Step 4: Simplify right side
    72,198.16x = 3,970,729,909.44
  5. Step 5: Solve for x
    x = 3,970,729,909.44/72,198.16
  6. Step 6: Final answer
    x = 54,997.66

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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.