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Finding the Fourth Proportional to 81,469.48, 122,218.80 and 53,446.72

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Solution

The fourth proportional to 81,469.48, 122,218.80 and 53,446.72 is: 80,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,469.48 : 122,218.80 = 53,446.72 : x
  2. Step 2: Convert to fraction form
    81,469.48/122,218.80 = 53,446.72/x
  3. Step 3: Cross multiply
    81,469.48x = 122,218.80 × 53,446.72
  4. Step 4: Simplify right side
    81,469.48x = 6,532,193,982.34
  5. Step 5: Solve for x
    x = 6,532,193,982.34/81,469.48
  6. Step 6: Final answer
    x = 80,179.64

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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.