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Finding the Fourth Proportional to 203,744.60, 305,616.90 and 147,757.40

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Solution

The fourth proportional to 203,744.60, 305,616.90 and 147,757.40 is: 221,636.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,744.60 : 305,616.90 = 147,757.40 : x
  2. Step 2: Convert to fraction form
    203,744.60/305,616.90 = 147,757.40/x
  3. Step 3: Cross multiply
    203,744.60x = 305,616.90 × 147,757.40
  4. Step 4: Simplify right side
    203,744.60x = 45,157,158,540.06
  5. Step 5: Solve for x
    x = 45,157,158,540.06/203,744.60
  6. Step 6: Final answer
    x = 221,636.10

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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.