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Finding the Fourth Proportional to 203,653.26, 305,381.16 and 119,440.80

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Solution

The fourth proportional to 203,653.26, 305,381.16 and 119,440.80 is: 179,103.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,653.26 : 305,381.16 = 119,440.80 : x
  2. Step 2: Convert to fraction form
    203,653.26/305,381.16 = 119,440.80/x
  3. Step 3: Cross multiply
    203,653.26x = 305,381.16 × 119,440.80
  4. Step 4: Simplify right side
    203,653.26x = 36,474,970,055.33
  5. Step 5: Solve for x
    x = 36,474,970,055.33/203,653.26
  6. Step 6: Final answer
    x = 179,103.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.