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Finding the Fourth Proportional to 68,019.29, 102,027.20 and 18,099.82

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Solution

The fourth proportional to 68,019.29, 102,027.20 and 18,099.82 is: 27,149.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,019.29 : 102,027.20 = 18,099.82 : x
  2. Step 2: Convert to fraction form
    68,019.29/102,027.20 = 18,099.82/x
  3. Step 3: Cross multiply
    68,019.29x = 102,027.20 × 18,099.82
  4. Step 4: Simplify right side
    68,019.29x = 1,846,673,561.71
  5. Step 5: Solve for x
    x = 1,846,673,561.71/68,019.29
  6. Step 6: Final answer
    x = 27,149.26

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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.