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Finding the Fourth Proportional to 72,131.81, 108,198.92 and 32,689.26

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Solution

The fourth proportional to 72,131.81, 108,198.92 and 32,689.26 is: 49,034.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,131.81 : 108,198.92 = 32,689.26 : x
  2. Step 2: Convert to fraction form
    72,131.81/108,198.92 = 32,689.26/x
  3. Step 3: Cross multiply
    72,131.81x = 108,198.92 × 32,689.26
  4. Step 4: Simplify right side
    72,131.81x = 3,536,942,709.32
  5. Step 5: Solve for x
    x = 3,536,942,709.32/72,131.81
  6. Step 6: Final answer
    x = 49,034.44

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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.