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Finding the Fourth Proportional to 68,144.68, 102,209.83 and 18,229.82

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Solution

The fourth proportional to 68,144.68, 102,209.83 and 18,229.82 is: 27,342.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,144.68 : 102,209.83 = 18,229.82 : x
  2. Step 2: Convert to fraction form
    68,144.68/102,209.83 = 18,229.82/x
  3. Step 3: Cross multiply
    68,144.68x = 102,209.83 × 18,229.82
  4. Step 4: Simplify right side
    68,144.68x = 1,863,266,246.51
  5. Step 5: Solve for x
    x = 1,863,266,246.51/68,144.68
  6. Step 6: Final answer
    x = 27,342.80

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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.