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Finding the Fourth Proportional to 203,991.12, 305,543.52 and 98,589

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Solution

The fourth proportional to 203,991.12, 305,543.52 and 98,589 is: 147,669.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,991.12 : 305,543.52 = 98,589 : x
  2. Step 2: Convert to fraction form
    203,991.12/305,543.52 = 98,589/x
  3. Step 3: Cross multiply
    203,991.12x = 305,543.52 × 98,589
  4. Step 4: Simplify right side
    203,991.12x = 30,123,230,093.28
  5. Step 5: Solve for x
    x = 30,123,230,093.28/203,991.12
  6. Step 6: Final answer
    x = 147,669.32

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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.