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Finding the Fourth Proportional to 208,081.36, 311,990.82 and 114,652.72

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Solution

The fourth proportional to 208,081.36, 311,990.82 and 114,652.72 is: 171,906.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,081.36 : 311,990.82 = 114,652.72 : x
  2. Step 2: Convert to fraction form
    208,081.36/311,990.82 = 114,652.72/x
  3. Step 3: Cross multiply
    208,081.36x = 311,990.82 × 114,652.72
  4. Step 4: Simplify right side
    208,081.36x = 35,770,596,128.03
  5. Step 5: Solve for x
    x = 35,770,596,128.03/208,081.36
  6. Step 6: Final answer
    x = 171,906.78

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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.