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Finding the Fourth Proportional to 82,251.81, 123,378.44 and 19,922.37

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Solution

The fourth proportional to 82,251.81, 123,378.44 and 19,922.37 is: 29,883.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,251.81 : 123,378.44 = 19,922.37 : x
  2. Step 2: Convert to fraction form
    82,251.81/123,378.44 = 19,922.37/x
  3. Step 3: Cross multiply
    82,251.81x = 123,378.44 × 19,922.37
  4. Step 4: Simplify right side
    82,251.81x = 2,457,990,832.09
  5. Step 5: Solve for x
    x = 2,457,990,832.09/82,251.81
  6. Step 6: Final answer
    x = 29,883.73

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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.