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Finding the Fourth Proportional to 206,857.60, 309,994.80 and 127,736.80

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Solution

The fourth proportional to 206,857.60, 309,994.80 and 127,736.80 is: 191,425.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,857.60 : 309,994.80 = 127,736.80 : x
  2. Step 2: Convert to fraction form
    206,857.60/309,994.80 = 127,736.80/x
  3. Step 3: Cross multiply
    206,857.60x = 309,994.80 × 127,736.80
  4. Step 4: Simplify right side
    206,857.60x = 39,597,743,768.64
  5. Step 5: Solve for x
    x = 39,597,743,768.64/206,857.60
  6. Step 6: Final answer
    x = 191,425.13

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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.