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Finding the Fourth Proportional to 50,876, 70,213.20 and 28,524.32

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Solution

The fourth proportional to 50,876, 70,213.20 and 28,524.32 is: 39,365.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,876 : 70,213.20 = 28,524.32 : x
  2. Step 2: Convert to fraction form
    50,876/70,213.20 = 28,524.32/x
  3. Step 3: Cross multiply
    50,876x = 70,213.20 × 28,524.32
  4. Step 4: Simplify right side
    50,876x = 2,002,783,785.02
  5. Step 5: Solve for x
    x = 2,002,783,785.02/50,876
  6. Step 6: Final answer
    x = 39,365.98

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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.