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Finding the Fourth Proportional to 149,338.60, 206,087.27 and 82,270.60

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Solution

The fourth proportional to 149,338.60, 206,087.27 and 82,270.60 is: 113,533.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,338.60 : 206,087.27 = 82,270.60 : x
  2. Step 2: Convert to fraction form
    149,338.60/206,087.27 = 82,270.60/x
  3. Step 3: Cross multiply
    149,338.60x = 206,087.27 × 82,270.60
  4. Step 4: Simplify right side
    149,338.60x = 16,954,923,355.26
  5. Step 5: Solve for x
    x = 16,954,923,355.26/149,338.60
  6. Step 6: Final answer
    x = 113,533.43

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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.