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Finding the Fourth Proportional to 149,288, 206,018.40 and 82,224.32

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Solution

The fourth proportional to 149,288, 206,018.40 and 82,224.32 is: 113,470.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,288 : 206,018.40 = 82,224.32 : x
  2. Step 2: Convert to fraction form
    149,288/206,018.40 = 82,224.32/x
  3. Step 3: Cross multiply
    149,288x = 206,018.40 × 82,224.32
  4. Step 4: Simplify right side
    149,288x = 16,939,722,847.49
  5. Step 5: Solve for x
    x = 16,939,722,847.49/149,288
  6. Step 6: Final answer
    x = 113,470.09

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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.