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Finding the Fourth Proportional to 70,917.52, 106,375.94 and 20,997.92

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Solution

The fourth proportional to 70,917.52, 106,375.94 and 20,997.92 is: 31,496.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,917.52 : 106,375.94 = 20,997.92 : x
  2. Step 2: Convert to fraction form
    70,917.52/106,375.94 = 20,997.92/x
  3. Step 3: Cross multiply
    70,917.52x = 106,375.94 × 20,997.92
  4. Step 4: Simplify right side
    70,917.52x = 2,233,673,478.04
  5. Step 5: Solve for x
    x = 2,233,673,478.04/70,917.52
  6. Step 6: Final answer
    x = 31,496.78

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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.