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Finding the Fourth Proportional to 221,680.83, 332,629.90 and 137,418.68

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Solution

The fourth proportional to 221,680.83, 332,629.90 and 137,418.68 is: 206,195.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,680.83 : 332,629.90 = 137,418.68 : x
  2. Step 2: Convert to fraction form
    221,680.83/332,629.90 = 137,418.68/x
  3. Step 3: Cross multiply
    221,680.83x = 332,629.90 × 137,418.68
  4. Step 4: Simplify right side
    221,680.83x = 45,709,561,369.74
  5. Step 5: Solve for x
    x = 45,709,561,369.74/221,680.83
  6. Step 6: Final answer
    x = 206,195.38

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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.