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Finding the Fourth Proportional to 189,778.86, 284,589.96 and 77,382.90

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Solution

The fourth proportional to 189,778.86, 284,589.96 and 77,382.90 is: 116,042.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,778.86 : 284,589.96 = 77,382.90 : x
  2. Step 2: Convert to fraction form
    189,778.86/284,589.96 = 77,382.90/x
  3. Step 3: Cross multiply
    189,778.86x = 284,589.96 × 77,382.90
  4. Step 4: Simplify right side
    189,778.86x = 22,022,396,415.68
  5. Step 5: Solve for x
    x = 22,022,396,415.68/189,778.86
  6. Step 6: Final answer
    x = 116,042.41

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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.