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Finding the Fourth Proportional to 36,872, 50,883.36 and 20,105.04

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Solution

The fourth proportional to 36,872, 50,883.36 and 20,105.04 is: 27,744.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,872 : 50,883.36 = 20,105.04 : x
  2. Step 2: Convert to fraction form
    36,872/50,883.36 = 20,105.04/x
  3. Step 3: Cross multiply
    36,872x = 50,883.36 × 20,105.04
  4. Step 4: Simplify right side
    36,872x = 1,023,011,988.13
  5. Step 5: Solve for x
    x = 1,023,011,988.13/36,872
  6. Step 6: Final answer
    x = 27,744.96

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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.