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Finding the Fourth Proportional to 36,287.20, 50,072.88 and 20,368

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Solution

The fourth proportional to 36,287.20, 50,072.88 and 20,368 is: 28,105.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,287.20 : 50,072.88 = 20,368 : x
  2. Step 2: Convert to fraction form
    36,287.20/50,072.88 = 20,368/x
  3. Step 3: Cross multiply
    36,287.20x = 50,072.88 × 20,368
  4. Step 4: Simplify right side
    36,287.20x = 1,019,884,419.84
  5. Step 5: Solve for x
    x = 1,019,884,419.84/36,287.20
  6. Step 6: Final answer
    x = 28,105.90

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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.