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Finding the Fourth Proportional to 230,405.87, 345,556.94 and 82,661.87

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Solution

The fourth proportional to 230,405.87, 345,556.94 and 82,661.87 is: 123,974.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,405.87 : 345,556.94 = 82,661.87 : x
  2. Step 2: Convert to fraction form
    230,405.87/345,556.94 = 82,661.87/x
  3. Step 3: Cross multiply
    230,405.87x = 345,556.94 × 82,661.87
  4. Step 4: Simplify right side
    230,405.87x = 28,564,380,710.78
  5. Step 5: Solve for x
    x = 28,564,380,710.78/230,405.87
  6. Step 6: Final answer
    x = 123,974.19

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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.