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Finding the Fourth Proportional to 206,600, 285,108 and 112,392

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Solution

The fourth proportional to 206,600, 285,108 and 112,392 is: 155,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,600 : 285,108 = 112,392 : x
  2. Step 2: Convert to fraction form
    206,600/285,108 = 112,392/x
  3. Step 3: Cross multiply
    206,600x = 285,108 × 112,392
  4. Step 4: Simplify right side
    206,600x = 32,043,858,336
  5. Step 5: Solve for x
    x = 32,043,858,336/206,600
  6. Step 6: Final answer
    x = 155,100.96

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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.