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Finding the Fourth Proportional to 102,872.92, 154,203.78 and 50,217.64

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Solution

The fourth proportional to 102,872.92, 154,203.78 and 50,217.64 is: 75,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,872.92 : 154,203.78 = 50,217.64 : x
  2. Step 2: Convert to fraction form
    102,872.92/154,203.78 = 50,217.64/x
  3. Step 3: Cross multiply
    102,872.92x = 154,203.78 × 50,217.64
  4. Step 4: Simplify right side
    102,872.92x = 7,743,749,910.68
  5. Step 5: Solve for x
    x = 7,743,749,910.68/102,872.92
  6. Step 6: Final answer
    x = 75,274.91

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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.