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Finding the Fourth Proportional to 48,163.44, 72,245.16 and 20,442

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Solution

The fourth proportional to 48,163.44, 72,245.16 and 20,442 is: 30,663

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,163.44 : 72,245.16 = 20,442 : x
  2. Step 2: Convert to fraction form
    48,163.44/72,245.16 = 20,442/x
  3. Step 3: Cross multiply
    48,163.44x = 72,245.16 × 20,442
  4. Step 4: Simplify right side
    48,163.44x = 1,476,835,560.72
  5. Step 5: Solve for x
    x = 1,476,835,560.72/48,163.44
  6. Step 6: Final answer
    x = 30,663

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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.