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Finding the Fourth Proportional to 206,900, 285,522 and 112,692

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Solution

The fourth proportional to 206,900, 285,522 and 112,692 is: 155,514.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,900 : 285,522 = 112,692 : x
  2. Step 2: Convert to fraction form
    206,900/285,522 = 112,692/x
  3. Step 3: Cross multiply
    206,900x = 285,522 × 112,692
  4. Step 4: Simplify right side
    206,900x = 32,176,045,224
  5. Step 5: Solve for x
    x = 32,176,045,224/206,900
  6. Step 6: Final answer
    x = 155,514.96

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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.