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Finding the Fourth Proportional to 223,514.16, 308,449.89 and 121,539.51

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Solution

The fourth proportional to 223,514.16, 308,449.89 and 121,539.51 is: 167,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,514.16 : 308,449.89 = 121,539.51 : x
  2. Step 2: Convert to fraction form
    223,514.16/308,449.89 = 121,539.51/x
  3. Step 3: Cross multiply
    223,514.16x = 308,449.89 × 121,539.51
  4. Step 4: Simplify right side
    223,514.16x = 37,488,848,490.15
  5. Step 5: Solve for x
    x = 37,488,848,490.15/223,514.16
  6. Step 6: Final answer
    x = 167,724.71

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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.