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Finding the Fourth Proportional to 208,993.37, 313,358.83 and 137,839.32

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Solution

The fourth proportional to 208,993.37, 313,358.83 and 137,839.32 is: 206,672.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,993.37 : 313,358.83 = 137,839.32 : x
  2. Step 2: Convert to fraction form
    208,993.37/313,358.83 = 137,839.32/x
  3. Step 3: Cross multiply
    208,993.37x = 313,358.83 × 137,839.32
  4. Step 4: Simplify right side
    208,993.37x = 43,193,167,698.60
  5. Step 5: Solve for x
    x = 43,193,167,698.60/208,993.37
  6. Step 6: Final answer
    x = 206,672.44

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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.