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Finding the Fourth Proportional to 50,847, 70,168.88 and 30,975

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Solution

The fourth proportional to 50,847, 70,168.88 and 30,975 is: 42,745.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,847 : 70,168.88 = 30,975 : x
  2. Step 2: Convert to fraction form
    50,847/70,168.88 = 30,975/x
  3. Step 3: Cross multiply
    50,847x = 70,168.88 × 30,975
  4. Step 4: Simplify right side
    50,847x = 2,173,481,058
  5. Step 5: Solve for x
    x = 2,173,481,058/50,847
  6. Step 6: Final answer
    x = 42,745.51

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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.