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Finding the Fourth Proportional to 149,437, 206,223.06 and 82,370.44

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Solution

The fourth proportional to 149,437, 206,223.06 and 82,370.44 is: 113,671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,437 : 206,223.06 = 82,370.44 : x
  2. Step 2: Convert to fraction form
    149,437/206,223.06 = 82,370.44/x
  3. Step 3: Cross multiply
    149,437x = 206,223.06 × 82,370.44
  4. Step 4: Simplify right side
    149,437x = 16,986,684,190.35
  5. Step 5: Solve for x
    x = 16,986,684,190.35/149,437
  6. Step 6: Final answer
    x = 113,671.21

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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.