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Finding the Fourth Proportional to 68,660, 102,990.62 and 27,107

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Solution

The fourth proportional to 68,660, 102,990.62 and 27,107 is: 40,660.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,660 : 102,990.62 = 27,107 : x
  2. Step 2: Convert to fraction form
    68,660/102,990.62 = 27,107/x
  3. Step 3: Cross multiply
    68,660x = 102,990.62 × 27,107
  4. Step 4: Simplify right side
    68,660x = 2,791,766,736.34
  5. Step 5: Solve for x
    x = 2,791,766,736.34/68,660
  6. Step 6: Final answer
    x = 40,660.74

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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.