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Finding the Fourth Proportional to 206,910, 285,536.10 and 117,486

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Solution

The fourth proportional to 206,910, 285,536.10 and 117,486 is: 162,130.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,910 : 285,536.10 = 117,486 : x
  2. Step 2: Convert to fraction form
    206,910/285,536.10 = 117,486/x
  3. Step 3: Cross multiply
    206,910x = 285,536.10 × 117,486
  4. Step 4: Simplify right side
    206,910x = 33,546,494,244.60
  5. Step 5: Solve for x
    x = 33,546,494,244.60/206,910
  6. Step 6: Final answer
    x = 162,130.85

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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.