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Finding the Fourth Proportional to 82,286.82, 123,336.90 and 37,821.69

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Solution

The fourth proportional to 82,286.82, 123,336.90 and 37,821.69 is: 56,689.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,286.82 : 123,336.90 = 37,821.69 : x
  2. Step 2: Convert to fraction form
    82,286.82/123,336.90 = 37,821.69/x
  3. Step 3: Cross multiply
    82,286.82x = 123,336.90 × 37,821.69
  4. Step 4: Simplify right side
    82,286.82x = 4,664,809,997.36
  5. Step 5: Solve for x
    x = 4,664,809,997.36/82,286.82
  6. Step 6: Final answer
    x = 56,689.64

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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.