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Finding the Fourth Proportional to 82,367.78, 123,550.22 and 20,038.82

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Solution

The fourth proportional to 82,367.78, 123,550.22 and 20,038.82 is: 30,057.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,367.78 : 123,550.22 = 20,038.82 : x
  2. Step 2: Convert to fraction form
    82,367.78/123,550.22 = 20,038.82/x
  3. Step 3: Cross multiply
    82,367.78x = 123,550.22 × 20,038.82
  4. Step 4: Simplify right side
    82,367.78x = 2,475,800,619.54
  5. Step 5: Solve for x
    x = 2,475,800,619.54/82,367.78
  6. Step 6: Final answer
    x = 30,057.88

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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.