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Finding the Fourth Proportional to 189,199.72, 283,695 and 75,232.09

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Solution

The fourth proportional to 189,199.72, 283,695 and 75,232.09 is: 112,806.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,199.72 : 283,695 = 75,232.09 : x
  2. Step 2: Convert to fraction form
    189,199.72/283,695 = 75,232.09/x
  3. Step 3: Cross multiply
    189,199.72x = 283,695 × 75,232.09
  4. Step 4: Simplify right side
    189,199.72x = 21,342,967,772.55
  5. Step 5: Solve for x
    x = 21,342,967,772.55/189,199.72
  6. Step 6: Final answer
    x = 112,806.55

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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.