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Finding the Fourth Proportional to 76,936, 106,172 and 41,608

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Solution

The fourth proportional to 76,936, 106,172 and 41,608 is: 57,419.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,936 : 106,172 = 41,608 : x
  2. Step 2: Convert to fraction form
    76,936/106,172 = 41,608/x
  3. Step 3: Cross multiply
    76,936x = 106,172 × 41,608
  4. Step 4: Simplify right side
    76,936x = 4,417,604,576
  5. Step 5: Solve for x
    x = 4,417,604,576/76,936
  6. Step 6: Final answer
    x = 57,419.21

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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.