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Finding the Fourth Proportional to 132,744, 199,116 and 45,192

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Solution

The fourth proportional to 132,744, 199,116 and 45,192 is: 67,788

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,744 : 199,116 = 45,192 : x
  2. Step 2: Convert to fraction form
    132,744/199,116 = 45,192/x
  3. Step 3: Cross multiply
    132,744x = 199,116 × 45,192
  4. Step 4: Simplify right side
    132,744x = 8,998,450,272
  5. Step 5: Solve for x
    x = 8,998,450,272/132,744
  6. Step 6: Final answer
    x = 67,788

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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.