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Finding the Fourth Proportional to 132,367, 198,550.52 and 33,871

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Solution

The fourth proportional to 132,367, 198,550.52 and 33,871 is: 50,806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,367 : 198,550.52 = 33,871 : x
  2. Step 2: Convert to fraction form
    132,367/198,550.52 = 33,871/x
  3. Step 3: Cross multiply
    132,367x = 198,550.52 × 33,871
  4. Step 4: Simplify right side
    132,367x = 6,725,104,662.92
  5. Step 5: Solve for x
    x = 6,725,104,662.92/132,367
  6. Step 6: Final answer
    x = 50,806.51

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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.