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Finding the Fourth Proportional to 66,481.76, 99,703.20 and 54,765.92

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Solution

The fourth proportional to 66,481.76, 99,703.20 and 54,765.92 is: 82,132.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,481.76 : 99,703.20 = 54,765.92 : x
  2. Step 2: Convert to fraction form
    66,481.76/99,703.20 = 54,765.92/x
  3. Step 3: Cross multiply
    66,481.76x = 99,703.20 × 54,765.92
  4. Step 4: Simplify right side
    66,481.76x = 5,460,337,474.94
  5. Step 5: Solve for x
    x = 5,460,337,474.94/66,481.76
  6. Step 6: Final answer
    x = 82,132.87

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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.