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Finding the Fourth Proportional to 203,908.12, 305,693.76 and 89,974.80

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Solution

The fourth proportional to 203,908.12, 305,693.76 and 89,974.80 is: 134,887.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,908.12 : 305,693.76 = 89,974.80 : x
  2. Step 2: Convert to fraction form
    203,908.12/305,693.76 = 89,974.80/x
  3. Step 3: Cross multiply
    203,908.12x = 305,693.76 × 89,974.80
  4. Step 4: Simplify right side
    203,908.12x = 27,504,735,254.65
  5. Step 5: Solve for x
    x = 27,504,735,254.65/203,908.12
  6. Step 6: Final answer
    x = 134,887.89

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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.