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Finding the Fourth Proportional to 213,241.37, 319,949.06 and 137,379.56

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Solution

The fourth proportional to 213,241.37, 319,949.06 and 137,379.56 is: 206,125.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,241.37 : 319,949.06 = 137,379.56 : x
  2. Step 2: Convert to fraction form
    213,241.37/319,949.06 = 137,379.56/x
  3. Step 3: Cross multiply
    213,241.37x = 319,949.06 × 137,379.56
  4. Step 4: Simplify right side
    213,241.37x = 43,954,460,407.64
  5. Step 5: Solve for x
    x = 43,954,460,407.64/213,241.37
  6. Step 6: Final answer
    x = 206,125.39

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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.