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Finding the Fourth Proportional to 55,286.20, 82,961.70 and 20,229.40

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Solution

The fourth proportional to 55,286.20, 82,961.70 and 20,229.40 is: 30,355.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,286.20 : 82,961.70 = 20,229.40 : x
  2. Step 2: Convert to fraction form
    55,286.20/82,961.70 = 20,229.40/x
  3. Step 3: Cross multiply
    55,286.20x = 82,961.70 × 20,229.40
  4. Step 4: Simplify right side
    55,286.20x = 1,678,265,413.98
  5. Step 5: Solve for x
    x = 1,678,265,413.98/55,286.20
  6. Step 6: Final answer
    x = 30,355.96

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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.