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Finding the Fourth Proportional to 68,019, 102,034.38 and 18,771

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Solution

The fourth proportional to 68,019, 102,034.38 and 18,771 is: 28,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,019 : 102,034.38 = 18,771 : x
  2. Step 2: Convert to fraction form
    68,019/102,034.38 = 18,771/x
  3. Step 3: Cross multiply
    68,019x = 102,034.38 × 18,771
  4. Step 4: Simplify right side
    68,019x = 1,915,287,346.98
  5. Step 5: Solve for x
    x = 1,915,287,346.98/68,019
  6. Step 6: Final answer
    x = 28,158.12

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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.