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Finding the Fourth Proportional to 193,028.80, 288,928.80 and 137,732.80

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Solution

The fourth proportional to 193,028.80, 288,928.80 and 137,732.80 is: 206,160.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,028.80 : 288,928.80 = 137,732.80 : x
  2. Step 2: Convert to fraction form
    193,028.80/288,928.80 = 137,732.80/x
  3. Step 3: Cross multiply
    193,028.80x = 288,928.80 × 137,732.80
  4. Step 4: Simplify right side
    193,028.80x = 39,794,972,624.64
  5. Step 5: Solve for x
    x = 39,794,972,624.64/193,028.80
  6. Step 6: Final answer
    x = 206,160.80

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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.