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Finding the Fourth Proportional to 72,481.44, 100,024 and 40,215.76

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Solution

The fourth proportional to 72,481.44, 100,024 and 40,215.76 is: 55,497.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,481.44 : 100,024 = 40,215.76 : x
  2. Step 2: Convert to fraction form
    72,481.44/100,024 = 40,215.76/x
  3. Step 3: Cross multiply
    72,481.44x = 100,024 × 40,215.76
  4. Step 4: Simplify right side
    72,481.44x = 4,022,541,178.24
  5. Step 5: Solve for x
    x = 4,022,541,178.24/72,481.44
  6. Step 6: Final answer
    x = 55,497.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.