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Finding the Fourth Proportional to 203,991.23, 305,768.08 and 98,665.31

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Solution

The fourth proportional to 203,991.23, 305,768.08 and 98,665.31 is: 147,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,991.23 : 305,768.08 = 98,665.31 : x
  2. Step 2: Convert to fraction form
    203,991.23/305,768.08 = 98,665.31/x
  3. Step 3: Cross multiply
    203,991.23x = 305,768.08 × 98,665.31
  4. Step 4: Simplify right side
    203,991.23x = 30,168,702,401.30
  5. Step 5: Solve for x
    x = 30,168,702,401.30/203,991.23
  6. Step 6: Final answer
    x = 147,892.15

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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.