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Finding the Fourth Proportional to 149,356.26, 206,109.90 and 85,704.03

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Solution

The fourth proportional to 149,356.26, 206,109.90 and 85,704.03 is: 118,270.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,356.26 : 206,109.90 = 85,704.03 : x
  2. Step 2: Convert to fraction form
    149,356.26/206,109.90 = 85,704.03/x
  3. Step 3: Cross multiply
    149,356.26x = 206,109.90 × 85,704.03
  4. Step 4: Simplify right side
    149,356.26x = 17,664,449,052.90
  5. Step 5: Solve for x
    x = 17,664,449,052.90/149,356.26
  6. Step 6: Final answer
    x = 118,270.56

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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.