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Finding the Fourth Proportional to 208,096.35, 312,183.87 and 65,977.39

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Solution

The fourth proportional to 208,096.35, 312,183.87 and 65,977.39 is: 98,978.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,096.35 : 312,183.87 = 65,977.39 : x
  2. Step 2: Convert to fraction form
    208,096.35/312,183.87 = 65,977.39/x
  3. Step 3: Cross multiply
    208,096.35x = 312,183.87 × 65,977.39
  4. Step 4: Simplify right side
    208,096.35x = 20,597,077,456.64
  5. Step 5: Solve for x
    x = 20,597,077,456.64/208,096.35
  6. Step 6: Final answer
    x = 98,978.56

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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.