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Finding the Fourth Proportional to 189,499.62, 284,099.49 and 71,157.78

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Solution

The fourth proportional to 189,499.62, 284,099.49 and 71,157.78 is: 106,680.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,499.62 : 284,099.49 = 71,157.78 : x
  2. Step 2: Convert to fraction form
    189,499.62/284,099.49 = 71,157.78/x
  3. Step 3: Cross multiply
    189,499.62x = 284,099.49 × 71,157.78
  4. Step 4: Simplify right side
    189,499.62x = 20,215,889,007.53
  5. Step 5: Solve for x
    x = 20,215,889,007.53/189,499.62
  6. Step 6: Final answer
    x = 106,680.37

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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.