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Finding the Fourth Proportional to 149,206.76, 205,905.12 and 82,138.76

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Solution

The fourth proportional to 149,206.76, 205,905.12 and 82,138.76 is: 113,351.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,206.76 : 205,905.12 = 82,138.76 : x
  2. Step 2: Convert to fraction form
    149,206.76/205,905.12 = 82,138.76/x
  3. Step 3: Cross multiply
    149,206.76x = 205,905.12 × 82,138.76
  4. Step 4: Simplify right side
    149,206.76x = 16,912,791,234.45
  5. Step 5: Solve for x
    x = 16,912,791,234.45/149,206.76
  6. Step 6: Final answer
    x = 113,351.37

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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.