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Finding the Fourth Proportional to 48,467, 72,648.12 and 20,380.52

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Solution

The fourth proportional to 48,467, 72,648.12 and 20,380.52 is: 30,548.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,467 : 72,648.12 = 20,380.52 : x
  2. Step 2: Convert to fraction form
    48,467/72,648.12 = 20,380.52/x
  3. Step 3: Cross multiply
    48,467x = 72,648.12 × 20,380.52
  4. Step 4: Simplify right side
    48,467x = 1,480,606,462.62
  5. Step 5: Solve for x
    x = 1,480,606,462.62/48,467
  6. Step 6: Final answer
    x = 30,548.75

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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.