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Finding the Fourth Proportional to 68,181.84, 102,286.62 and 28,738.89

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Solution

The fourth proportional to 68,181.84, 102,286.62 and 28,738.89 is: 43,114.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,181.84 : 102,286.62 = 28,738.89 : x
  2. Step 2: Convert to fraction form
    68,181.84/102,286.62 = 28,738.89/x
  3. Step 3: Cross multiply
    68,181.84x = 102,286.62 × 28,738.89
  4. Step 4: Simplify right side
    68,181.84x = 2,939,603,920.65
  5. Step 5: Solve for x
    x = 2,939,603,920.65/68,181.84
  6. Step 6: Final answer
    x = 43,114.18

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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.