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Finding the Fourth Proportional to 189,096.30, 260,949.87 and 108,521.96

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Solution

The fourth proportional to 189,096.30, 260,949.87 and 108,521.96 is: 149,758.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,096.30 : 260,949.87 = 108,521.96 : x
  2. Step 2: Convert to fraction form
    189,096.30/260,949.87 = 108,521.96/x
  3. Step 3: Cross multiply
    189,096.30x = 260,949.87 × 108,521.96
  4. Step 4: Simplify right side
    189,096.30x = 28,318,790,049.40
  5. Step 5: Solve for x
    x = 28,318,790,049.40/189,096.30
  6. Step 6: Final answer
    x = 149,758.56

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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.