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Finding the Fourth Proportional to 223,514.92, 308,443.84 and 121,540.60

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Solution

The fourth proportional to 223,514.92, 308,443.84 and 121,540.60 is: 167,722.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,514.92 : 308,443.84 = 121,540.60 : x
  2. Step 2: Convert to fraction form
    223,514.92/308,443.84 = 121,540.60/x
  3. Step 3: Cross multiply
    223,514.92x = 308,443.84 × 121,540.60
  4. Step 4: Simplify right side
    223,514.92x = 37,488,449,379.90
  5. Step 5: Solve for x
    x = 37,488,449,379.90/223,514.92
  6. Step 6: Final answer
    x = 167,722.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.