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Finding the Fourth Proportional to 281,550.86, 422,367.44 and 81,845.28

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Solution

The fourth proportional to 281,550.86, 422,367.44 and 81,845.28 is: 122,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,550.86 : 422,367.44 = 81,845.28 : x
  2. Step 2: Convert to fraction form
    281,550.86/422,367.44 = 81,845.28/x
  3. Step 3: Cross multiply
    281,550.86x = 422,367.44 × 81,845.28
  4. Step 4: Simplify right side
    281,550.86x = 34,568,780,980.46
  5. Step 5: Solve for x
    x = 34,568,780,980.46/281,550.86
  6. Step 6: Final answer
    x = 122,779.88

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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.