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Finding the Fourth Proportional to 203,456.40, 305,233.20 and 98,188.80

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Solution

The fourth proportional to 203,456.40, 305,233.20 and 98,188.80 is: 147,306.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,456.40 : 305,233.20 = 98,188.80 : x
  2. Step 2: Convert to fraction form
    203,456.40/305,233.20 = 98,188.80/x
  3. Step 3: Cross multiply
    203,456.40x = 305,233.20 × 98,188.80
  4. Step 4: Simplify right side
    203,456.40x = 29,970,481,628.16
  5. Step 5: Solve for x
    x = 29,970,481,628.16/203,456.40
  6. Step 6: Final answer
    x = 147,306.65

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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.