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Finding the Fourth Proportional to 200,178.72, 299,789.64 and 111,211.56

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Solution

The fourth proportional to 200,178.72, 299,789.64 and 111,211.56 is: 166,551.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,178.72 : 299,789.64 = 111,211.56 : x
  2. Step 2: Convert to fraction form
    200,178.72/299,789.64 = 111,211.56/x
  3. Step 3: Cross multiply
    200,178.72x = 299,789.64 × 111,211.56
  4. Step 4: Simplify right side
    200,178.72x = 33,340,073,536.24
  5. Step 5: Solve for x
    x = 33,340,073,536.24/200,178.72
  6. Step 6: Final answer
    x = 166,551.54

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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.