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Finding the Fourth Proportional to 155,680.44, 214,764.42 and 149,644.92

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Solution

The fourth proportional to 155,680.44, 214,764.42 and 149,644.92 is: 206,438.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,680.44 : 214,764.42 = 149,644.92 : x
  2. Step 2: Convert to fraction form
    155,680.44/214,764.42 = 149,644.92/x
  3. Step 3: Cross multiply
    155,680.44x = 214,764.42 × 149,644.92
  4. Step 4: Simplify right side
    155,680.44x = 32,138,404,449.75
  5. Step 5: Solve for x
    x = 32,138,404,449.75/155,680.44
  6. Step 6: Final answer
    x = 206,438.29

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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.