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Finding the Fourth Proportional to 149,392, 206,163.12 and 82,324

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Solution

The fourth proportional to 149,392, 206,163.12 and 82,324 is: 113,608.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,392 : 206,163.12 = 82,324 : x
  2. Step 2: Convert to fraction form
    149,392/206,163.12 = 82,324/x
  3. Step 3: Cross multiply
    149,392x = 206,163.12 × 82,324
  4. Step 4: Simplify right side
    149,392x = 16,972,172,690.88
  5. Step 5: Solve for x
    x = 16,972,172,690.88/149,392
  6. Step 6: Final answer
    x = 113,608.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.