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Finding the Fourth Proportional to 203,961.96, 305,499.30 and 98,559

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Solution

The fourth proportional to 203,961.96, 305,499.30 and 98,559 is: 147,624.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,961.96 : 305,499.30 = 98,559 : x
  2. Step 2: Convert to fraction form
    203,961.96/305,499.30 = 98,559/x
  3. Step 3: Cross multiply
    203,961.96x = 305,499.30 × 98,559
  4. Step 4: Simplify right side
    203,961.96x = 30,109,705,508.70
  5. Step 5: Solve for x
    x = 30,109,705,508.70/203,961.96
  6. Step 6: Final answer
    x = 147,624.12

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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.