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Finding the Fourth Proportional to 221,732.46, 305,990.73 and 119,757.92

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Solution

The fourth proportional to 221,732.46, 305,990.73 and 119,757.92 is: 165,265.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,732.46 : 305,990.73 = 119,757.92 : x
  2. Step 2: Convert to fraction form
    221,732.46/305,990.73 = 119,757.92/x
  3. Step 3: Cross multiply
    221,732.46x = 305,990.73 × 119,757.92
  4. Step 4: Simplify right side
    221,732.46x = 36,644,811,834.13
  5. Step 5: Solve for x
    x = 36,644,811,834.13/221,732.46
  6. Step 6: Final answer
    x = 165,265.89

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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.