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Finding the Fourth Proportional to 199,965.84, 299,940.84 and 111,163.20

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Solution

The fourth proportional to 199,965.84, 299,940.84 and 111,163.20 is: 166,740.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,965.84 : 299,940.84 = 111,163.20 : x
  2. Step 2: Convert to fraction form
    199,965.84/299,940.84 = 111,163.20/x
  3. Step 3: Cross multiply
    199,965.84x = 299,940.84 × 111,163.20
  4. Step 4: Simplify right side
    199,965.84x = 33,342,383,585.09
  5. Step 5: Solve for x
    x = 33,342,383,585.09/199,965.84
  6. Step 6: Final answer
    x = 166,740.40

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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.