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Finding the Fourth Proportional to 33,107.88, 49,678.08 and 13,400.64

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Solution

The fourth proportional to 33,107.88, 49,678.08 and 13,400.64 is: 20,107.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,107.88 : 49,678.08 = 13,400.64 : x
  2. Step 2: Convert to fraction form
    33,107.88/49,678.08 = 13,400.64/x
  3. Step 3: Cross multiply
    33,107.88x = 49,678.08 × 13,400.64
  4. Step 4: Simplify right side
    33,107.88x = 665,718,065.97
  5. Step 5: Solve for x
    x = 665,718,065.97/33,107.88
  6. Step 6: Final answer
    x = 20,107.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.