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Finding the Fourth Proportional to 203,433.60, 305,236.80 and 98,198.40

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Solution

The fourth proportional to 203,433.60, 305,236.80 and 98,198.40 is: 147,339.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,433.60 : 305,236.80 = 98,198.40 : x
  2. Step 2: Convert to fraction form
    203,433.60/305,236.80 = 98,198.40/x
  3. Step 3: Cross multiply
    203,433.60x = 305,236.80 × 98,198.40
  4. Step 4: Simplify right side
    203,433.60x = 29,973,765,381.12
  5. Step 5: Solve for x
    x = 29,973,765,381.12/203,433.60
  6. Step 6: Final answer
    x = 147,339.31

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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.