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Finding the Fourth Proportional to 221,691.72, 332,670.06 and 81,464.52

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Solution

The fourth proportional to 221,691.72, 332,670.06 and 81,464.52 is: 122,245.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,691.72 : 332,670.06 = 81,464.52 : x
  2. Step 2: Convert to fraction form
    221,691.72/332,670.06 = 81,464.52/x
  3. Step 3: Cross multiply
    221,691.72x = 332,670.06 × 81,464.52
  4. Step 4: Simplify right side
    221,691.72x = 27,100,806,756.27
  5. Step 5: Solve for x
    x = 27,100,806,756.27/221,691.72
  6. Step 6: Final answer
    x = 122,245.46

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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.