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Finding the Fourth Proportional to 203,982.84, 305,714.64 and 115,285.80

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Solution

The fourth proportional to 203,982.84, 305,714.64 and 115,285.80 is: 172,781.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,982.84 : 305,714.64 = 115,285.80 : x
  2. Step 2: Convert to fraction form
    203,982.84/305,714.64 = 115,285.80/x
  3. Step 3: Cross multiply
    203,982.84x = 305,714.64 × 115,285.80
  4. Step 4: Simplify right side
    203,982.84x = 35,244,556,844.11
  5. Step 5: Solve for x
    x = 35,244,556,844.11/203,982.84
  6. Step 6: Final answer
    x = 172,781.97

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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.