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Finding the Fourth Proportional to 221,732.44, 305,990.73 and 119,757.89

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Solution

The fourth proportional to 221,732.44, 305,990.73 and 119,757.89 is: 165,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,732.44 : 305,990.73 = 119,757.89 : x
  2. Step 2: Convert to fraction form
    221,732.44/305,990.73 = 119,757.89/x
  3. Step 3: Cross multiply
    221,732.44x = 305,990.73 × 119,757.89
  4. Step 4: Simplify right side
    221,732.44x = 36,644,804,949.34
  5. Step 5: Solve for x
    x = 36,644,804,949.34/221,732.44
  6. Step 6: Final answer
    x = 165,265.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.