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Finding the Fourth Proportional to 149,144.45, 205,819.37 and 82,076.45

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Solution

The fourth proportional to 149,144.45, 205,819.37 and 82,076.45 is: 113,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,144.45 : 205,819.37 = 82,076.45 : x
  2. Step 2: Convert to fraction form
    149,144.45/205,819.37 = 82,076.45/x
  3. Step 3: Cross multiply
    149,144.45x = 205,819.37 × 82,076.45
  4. Step 4: Simplify right side
    149,144.45x = 16,892,921,791.36
  5. Step 5: Solve for x
    x = 16,892,921,791.36/149,144.45
  6. Step 6: Final answer
    x = 113,265.51

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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.