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Finding the Fourth Proportional to 198,449.86, 273,709.92 and 137,297.80

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Solution

The fourth proportional to 198,449.86, 273,709.92 and 137,297.80 is: 189,366.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,449.86 : 273,709.92 = 137,297.80 : x
  2. Step 2: Convert to fraction form
    198,449.86/273,709.92 = 137,297.80/x
  3. Step 3: Cross multiply
    198,449.86x = 273,709.92 × 137,297.80
  4. Step 4: Simplify right side
    198,449.86x = 37,579,767,799.14
  5. Step 5: Solve for x
    x = 37,579,767,799.14/198,449.86
  6. Step 6: Final answer
    x = 189,366.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.