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Finding the Fourth Proportional to 68,286.44, 102,441.77 and 20,900.48

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Solution

The fourth proportional to 68,286.44, 102,441.77 and 20,900.48 is: 31,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,286.44 : 102,441.77 = 20,900.48 : x
  2. Step 2: Convert to fraction form
    68,286.44/102,441.77 = 20,900.48/x
  3. Step 3: Cross multiply
    68,286.44x = 102,441.77 × 20,900.48
  4. Step 4: Simplify right side
    68,286.44x = 2,141,082,202.95
  5. Step 5: Solve for x
    x = 2,141,082,202.95/68,286.44
  6. Step 6: Final answer
    x = 31,354.43

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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.