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Finding the Fourth Proportional to 68,105.75, 102,158.63 and 18,857.75

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Solution

The fourth proportional to 68,105.75, 102,158.63 and 18,857.75 is: 28,286.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,105.75 : 102,158.63 = 18,857.75 : x
  2. Step 2: Convert to fraction form
    68,105.75/102,158.63 = 18,857.75/x
  3. Step 3: Cross multiply
    68,105.75x = 102,158.63 × 18,857.75
  4. Step 4: Simplify right side
    68,105.75x = 1,926,481,904.88
  5. Step 5: Solve for x
    x = 1,926,481,904.88/68,105.75
  6. Step 6: Final answer
    x = 28,286.63

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1.5x scale

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.