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Finding the Fourth Proportional to 70,716.28, 106,059.49 and 20,782.83

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Solution

The fourth proportional to 70,716.28, 106,059.49 and 20,782.83 is: 31,169.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,716.28 : 106,059.49 = 20,782.83 : x
  2. Step 2: Convert to fraction form
    70,716.28/106,059.49 = 20,782.83/x
  3. Step 3: Cross multiply
    70,716.28x = 106,059.49 × 20,782.83
  4. Step 4: Simplify right side
    70,716.28x = 2,204,216,350.56
  5. Step 5: Solve for x
    x = 2,204,216,350.56/70,716.28
  6. Step 6: Final answer
    x = 31,169.86

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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.