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Finding the Fourth Proportional to 149,144.70, 205,819.71 and 82,076.70

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Solution

The fourth proportional to 149,144.70, 205,819.71 and 82,076.70 is: 113,265.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,144.70 : 205,819.71 = 82,076.70 : x
  2. Step 2: Convert to fraction form
    149,144.70/205,819.71 = 82,076.70/x
  3. Step 3: Cross multiply
    149,144.70x = 205,819.71 × 82,076.70
  4. Step 4: Simplify right side
    149,144.70x = 16,893,002,591.76
  5. Step 5: Solve for x
    x = 16,893,002,591.76/149,144.70
  6. Step 6: Final answer
    x = 113,265.86

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1.5x scale

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.