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Finding the Fourth Proportional to 36,286.20, 50,071.50 and 20,367

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Solution

The fourth proportional to 36,286.20, 50,071.50 and 20,367 is: 28,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,286.20 : 50,071.50 = 20,367 : x
  2. Step 2: Convert to fraction form
    36,286.20/50,071.50 = 20,367/x
  3. Step 3: Cross multiply
    36,286.20x = 50,071.50 × 20,367
  4. Step 4: Simplify right side
    36,286.20x = 1,019,806,240.50
  5. Step 5: Solve for x
    x = 1,019,806,240.50/36,286.20
  6. Step 6: Final answer
    x = 28,104.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.