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Finding the Fourth Proportional to 106,658.82, 159,747.65 and 82,775.56

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Solution

The fourth proportional to 106,658.82, 159,747.65 and 82,775.56 is: 123,976.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,658.82 : 159,747.65 = 82,775.56 : x
  2. Step 2: Convert to fraction form
    106,658.82/159,747.65 = 82,775.56/x
  3. Step 3: Cross multiply
    106,658.82x = 159,747.65 × 82,775.56
  4. Step 4: Simplify right side
    106,658.82x = 13,223,201,187.43
  5. Step 5: Solve for x
    x = 13,223,201,187.43/106,658.82
  6. Step 6: Final answer
    x = 123,976.63

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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.