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Finding the Fourth Proportional to 139,405.05, 208,961.37 and 68,229.54

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Solution

The fourth proportional to 139,405.05, 208,961.37 and 68,229.54 is: 102,272.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,405.05 : 208,961.37 = 68,229.54 : x
  2. Step 2: Convert to fraction form
    139,405.05/208,961.37 = 68,229.54/x
  3. Step 3: Cross multiply
    139,405.05x = 208,961.37 × 68,229.54
  4. Step 4: Simplify right side
    139,405.05x = 14,257,338,152.87
  5. Step 5: Solve for x
    x = 14,257,338,152.87/139,405.05
  6. Step 6: Final answer
    x = 102,272.75

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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.