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Finding the Fourth Proportional to 221,464.91, 332,241.08 and 81,224.75

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Solution

The fourth proportional to 221,464.91, 332,241.08 and 81,224.75 is: 121,853.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,464.91 : 332,241.08 = 81,224.75 : x
  2. Step 2: Convert to fraction form
    221,464.91/332,241.08 = 81,224.75/x
  3. Step 3: Cross multiply
    221,464.91x = 332,241.08 × 81,224.75
  4. Step 4: Simplify right side
    221,464.91x = 26,986,198,662.73
  5. Step 5: Solve for x
    x = 26,986,198,662.73/221,464.91
  6. Step 6: Final answer
    x = 121,853.16

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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.