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Finding the Fourth Proportional to 221,689.80, 332,340.30 and 132,978.60

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Solution

The fourth proportional to 221,689.80, 332,340.30 and 132,978.60 is: 199,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,689.80 : 332,340.30 = 132,978.60 : x
  2. Step 2: Convert to fraction form
    221,689.80/332,340.30 = 132,978.60/x
  3. Step 3: Cross multiply
    221,689.80x = 332,340.30 × 132,978.60
  4. Step 4: Simplify right side
    221,689.80x = 44,194,147,817.58
  5. Step 5: Solve for x
    x = 44,194,147,817.58/221,689.80
  6. Step 6: Final answer
    x = 199,351.29

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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.