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Finding the Fourth Proportional to 203,651.60, 281,113.84 and 123,082.16

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Solution

The fourth proportional to 203,651.60, 281,113.84 and 123,082.16 is: 169,898.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,651.60 : 281,113.84 = 123,082.16 : x
  2. Step 2: Convert to fraction form
    203,651.60/281,113.84 = 123,082.16/x
  3. Step 3: Cross multiply
    203,651.60x = 281,113.84 × 123,082.16
  4. Step 4: Simplify right side
    203,651.60x = 34,600,098,633.09
  5. Step 5: Solve for x
    x = 34,600,098,633.09/203,651.60
  6. Step 6: Final answer
    x = 169,898.49

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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.