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Finding the Fourth Proportional to 259,654, 389,442.01 and 82,137.94

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Solution

The fourth proportional to 259,654, 389,442.01 and 82,137.94 is: 123,194.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,654 : 389,442.01 = 82,137.94 : x
  2. Step 2: Convert to fraction form
    259,654/389,442.01 = 82,137.94/x
  3. Step 3: Cross multiply
    259,654x = 389,442.01 × 82,137.94
  4. Step 4: Simplify right side
    259,654x = 31,987,964,450.86
  5. Step 5: Solve for x
    x = 31,987,964,450.86/259,654
  6. Step 6: Final answer
    x = 123,194.58

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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.