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Finding the Fourth Proportional to 149,310.50, 206,048.49 and 82,242.50

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Solution

The fourth proportional to 149,310.50, 206,048.49 and 82,242.50 is: 113,494.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,310.50 : 206,048.49 = 82,242.50 : x
  2. Step 2: Convert to fraction form
    149,310.50/206,048.49 = 82,242.50/x
  3. Step 3: Cross multiply
    149,310.50x = 206,048.49 × 82,242.50
  4. Step 4: Simplify right side
    149,310.50x = 16,945,942,938.83
  5. Step 5: Solve for x
    x = 16,945,942,938.83/149,310.50
  6. Step 6: Final answer
    x = 113,494.65

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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.