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Finding the Fourth Proportional to 48,000.20, 71,978.70 and 18,408.20

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Solution

The fourth proportional to 48,000.20, 71,978.70 and 18,408.20 is: 27,604.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,000.20 : 71,978.70 = 18,408.20 : x
  2. Step 2: Convert to fraction form
    48,000.20/71,978.70 = 18,408.20/x
  3. Step 3: Cross multiply
    48,000.20x = 71,978.70 × 18,408.20
  4. Step 4: Simplify right side
    48,000.20x = 1,324,998,305.34
  5. Step 5: Solve for x
    x = 1,324,998,305.34/48,000.20
  6. Step 6: Final answer
    x = 27,604.02

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1.5x scale

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.