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Finding the Fourth Proportional to 82,467.76, 113,754.36 and 72,388.24

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Solution

The fourth proportional to 82,467.76, 113,754.36 and 72,388.24 is: 99,850.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,467.76 : 113,754.36 = 72,388.24 : x
  2. Step 2: Convert to fraction form
    82,467.76/113,754.36 = 72,388.24/x
  3. Step 3: Cross multiply
    82,467.76x = 113,754.36 × 72,388.24
  4. Step 4: Simplify right side
    82,467.76x = 8,234,477,912.73
  5. Step 5: Solve for x
    x = 8,234,477,912.73/82,467.76
  6. Step 6: Final answer
    x = 99,850.87

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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.