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Finding the Fourth Proportional to 221,256, 331,855.74 and 71,480.75

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Solution

The fourth proportional to 221,256, 331,855.74 and 71,480.75 is: 107,211.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,256 : 331,855.74 = 71,480.75 : x
  2. Step 2: Convert to fraction form
    221,256/331,855.74 = 71,480.75/x
  3. Step 3: Cross multiply
    221,256x = 331,855.74 × 71,480.75
  4. Step 4: Simplify right side
    221,256x = 23,721,295,527.73
  5. Step 5: Solve for x
    x = 23,721,295,527.73/221,256
  6. Step 6: Final answer
    x = 107,211.99

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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.