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Finding the Fourth Proportional to 76,986, 106,241 and 41,658

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Solution

The fourth proportional to 76,986, 106,241 and 41,658 is: 57,488.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,986 : 106,241 = 41,658 : x
  2. Step 2: Convert to fraction form
    76,986/106,241 = 41,658/x
  3. Step 3: Cross multiply
    76,986x = 106,241 × 41,658
  4. Step 4: Simplify right side
    76,986x = 4,425,787,578
  5. Step 5: Solve for x
    x = 4,425,787,578/76,986
  6. Step 6: Final answer
    x = 57,488.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.