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Finding the Fourth Proportional to 68,217.31, 102,137.03 and 34,865.56

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Solution

The fourth proportional to 68,217.31, 102,137.03 and 34,865.56 is: 52,201.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,217.31 : 102,137.03 = 34,865.56 : x
  2. Step 2: Convert to fraction form
    68,217.31/102,137.03 = 34,865.56/x
  3. Step 3: Cross multiply
    68,217.31x = 102,137.03 × 34,865.56
  4. Step 4: Simplify right side
    68,217.31x = 3,561,064,747.69
  5. Step 5: Solve for x
    x = 3,561,064,747.69/68,217.31
  6. Step 6: Final answer
    x = 52,201.78

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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.