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Finding the Fourth Proportional to 149,317.50, 206,058.15 and 82,249.50

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Solution

The fourth proportional to 149,317.50, 206,058.15 and 82,249.50 is: 113,504.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,317.50 : 206,058.15 = 82,249.50 : x
  2. Step 2: Convert to fraction form
    149,317.50/206,058.15 = 82,249.50/x
  3. Step 3: Cross multiply
    149,317.50x = 206,058.15 × 82,249.50
  4. Step 4: Simplify right side
    149,317.50x = 16,948,179,808.43
  5. Step 5: Solve for x
    x = 16,948,179,808.43/149,317.50
  6. Step 6: Final answer
    x = 113,504.31

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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.