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Finding the Fourth Proportional to 206,508, 285,015.60 and 117,135.84

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Solution

The fourth proportional to 206,508, 285,015.60 and 117,135.84 is: 161,667.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,508 : 285,015.60 = 117,135.84 : x
  2. Step 2: Convert to fraction form
    206,508/285,015.60 = 117,135.84/x
  3. Step 3: Cross multiply
    206,508x = 285,015.60 × 117,135.84
  4. Step 4: Simplify right side
    206,508x = 33,385,541,719.10
  5. Step 5: Solve for x
    x = 33,385,541,719.10/206,508
  6. Step 6: Final answer
    x = 161,667.06

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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.