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Finding the Fourth Proportional to 150,186.72, 206,917.78 and 123,286.64

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Solution

The fourth proportional to 150,186.72, 206,917.78 and 123,286.64 is: 169,856.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,186.72 : 206,917.78 = 123,286.64 : x
  2. Step 2: Convert to fraction form
    150,186.72/206,917.78 = 123,286.64/x
  3. Step 3: Cross multiply
    150,186.72x = 206,917.78 × 123,286.64
  4. Step 4: Simplify right side
    150,186.72x = 25,510,197,852.46
  5. Step 5: Solve for x
    x = 25,510,197,852.46/150,186.72
  6. Step 6: Final answer
    x = 169,856.55

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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.