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Finding the Fourth Proportional to 208,705.26, 312,921.78 and 137,412.12

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Solution

The fourth proportional to 208,705.26, 312,921.78 and 137,412.12 is: 206,028.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,705.26 : 312,921.78 = 137,412.12 : x
  2. Step 2: Convert to fraction form
    208,705.26/312,921.78 = 137,412.12/x
  3. Step 3: Cross multiply
    208,705.26x = 312,921.78 × 137,412.12
  4. Step 4: Simplify right side
    208,705.26x = 42,999,245,183.97
  5. Step 5: Solve for x
    x = 42,999,245,183.97/208,705.26
  6. Step 6: Final answer
    x = 206,028.56

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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.