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Finding the Fourth Proportional to 47,227.88, 70,793.22 and 20,945

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Solution

The fourth proportional to 47,227.88, 70,793.22 and 20,945 is: 31,395.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,227.88 : 70,793.22 = 20,945 : x
  2. Step 2: Convert to fraction form
    47,227.88/70,793.22 = 20,945/x
  3. Step 3: Cross multiply
    47,227.88x = 70,793.22 × 20,945
  4. Step 4: Simplify right side
    47,227.88x = 1,482,763,992.90
  5. Step 5: Solve for x
    x = 1,482,763,992.90/47,227.88
  6. Step 6: Final answer
    x = 31,395.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.