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Finding the Fourth Proportional to 189,578.72, 284,163.96 and 100,742.78

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Solution

The fourth proportional to 189,578.72, 284,163.96 and 100,742.78 is: 151,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,578.72 : 284,163.96 = 100,742.78 : x
  2. Step 2: Convert to fraction form
    189,578.72/284,163.96 = 100,742.78/x
  3. Step 3: Cross multiply
    189,578.72x = 284,163.96 × 100,742.78
  4. Step 4: Simplify right side
    189,578.72x = 28,627,467,306.21
  5. Step 5: Solve for x
    x = 28,627,467,306.21/189,578.72
  6. Step 6: Final answer
    x = 151,005.70

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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.