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Finding the Fourth Proportional to 203,690.50, 281,092.90 and 114,266.50

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Solution

The fourth proportional to 203,690.50, 281,092.90 and 114,266.50 is: 157,687.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,690.50 : 281,092.90 = 114,266.50 : x
  2. Step 2: Convert to fraction form
    203,690.50/281,092.90 = 114,266.50/x
  3. Step 3: Cross multiply
    203,690.50x = 281,092.90 × 114,266.50
  4. Step 4: Simplify right side
    203,690.50x = 32,119,501,857.85
  5. Step 5: Solve for x
    x = 32,119,501,857.85/203,690.50
  6. Step 6: Final answer
    x = 157,687.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.