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Finding the Fourth Proportional to 189,845.80, 284,379.90 and 96,404.20

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Solution

The fourth proportional to 189,845.80, 284,379.90 and 96,404.20 is: 144,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,845.80 : 284,379.90 = 96,404.20 : x
  2. Step 2: Convert to fraction form
    189,845.80/284,379.90 = 96,404.20/x
  3. Step 3: Cross multiply
    189,845.80x = 284,379.90 × 96,404.20
  4. Step 4: Simplify right side
    189,845.80x = 27,415,416,755.58
  5. Step 5: Solve for x
    x = 27,415,416,755.58/189,845.80
  6. Step 6: Final answer
    x = 144,408.87

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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.