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Finding the Fourth Proportional to 149,451.42, 206,235.43 and 84,912.20

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Solution

The fourth proportional to 149,451.42, 206,235.43 and 84,912.20 is: 117,174.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,451.42 : 206,235.43 = 84,912.20 : x
  2. Step 2: Convert to fraction form
    149,451.42/206,235.43 = 84,912.20/x
  3. Step 3: Cross multiply
    149,451.42x = 206,235.43 × 84,912.20
  4. Step 4: Simplify right side
    149,451.42x = 17,511,904,079.25
  5. Step 5: Solve for x
    x = 17,511,904,079.25/149,451.42
  6. Step 6: Final answer
    x = 117,174.56

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1.5x scale

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.