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Finding the Fourth Proportional to 221,458.72, 332,304.72 and 96,887.20

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Solution

The fourth proportional to 221,458.72, 332,304.72 and 96,887.20 is: 145,381.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,458.72 : 332,304.72 = 96,887.20 : x
  2. Step 2: Convert to fraction form
    221,458.72/332,304.72 = 96,887.20/x
  3. Step 3: Cross multiply
    221,458.72x = 332,304.72 × 96,887.20
  4. Step 4: Simplify right side
    221,458.72x = 32,196,073,867.58
  5. Step 5: Solve for x
    x = 32,196,073,867.58/221,458.72
  6. Step 6: Final answer
    x = 145,381.83

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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.