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Finding the Fourth Proportional to 68,138.40, 102,110.40 and 50,229.30

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Solution

The fourth proportional to 68,138.40, 102,110.40 and 50,229.30 is: 75,272.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,138.40 : 102,110.40 = 50,229.30 : x
  2. Step 2: Convert to fraction form
    68,138.40/102,110.40 = 50,229.30/x
  3. Step 3: Cross multiply
    68,138.40x = 102,110.40 × 50,229.30
  4. Step 4: Simplify right side
    68,138.40x = 5,128,933,914.72
  5. Step 5: Solve for x
    x = 5,128,933,914.72/68,138.40
  6. Step 6: Final answer
    x = 75,272.30

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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.