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Finding the Fourth Proportional to 203,898.65, 305,679.59 and 89,965.34

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Solution

The fourth proportional to 203,898.65, 305,679.59 and 89,965.34 is: 134,873.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,898.65 : 305,679.59 = 89,965.34 : x
  2. Step 2: Convert to fraction form
    203,898.65/305,679.59 = 89,965.34/x
  3. Step 3: Cross multiply
    203,898.65x = 305,679.59 × 89,965.34
  4. Step 4: Simplify right side
    203,898.65x = 27,500,568,559.78
  5. Step 5: Solve for x
    x = 27,500,568,559.78/203,898.65
  6. Step 6: Final answer
    x = 134,873.72

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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.