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Finding the Fourth Proportional to 204,201.72, 305,990.73 and 85,808.34

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Solution

The fourth proportional to 204,201.72, 305,990.73 and 85,808.34 is: 128,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,201.72 : 305,990.73 = 85,808.34 : x
  2. Step 2: Convert to fraction form
    204,201.72/305,990.73 = 85,808.34/x
  3. Step 3: Cross multiply
    204,201.72x = 305,990.73 × 85,808.34
  4. Step 4: Simplify right side
    204,201.72x = 26,256,556,596.69
  5. Step 5: Solve for x
    x = 26,256,556,596.69/204,201.72
  6. Step 6: Final answer
    x = 128,581.47

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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.