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Finding the Fourth Proportional to 223,514.46, 308,449.94 and 122,912.46

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Solution

The fourth proportional to 223,514.46, 308,449.94 and 122,912.46 is: 169,619.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,514.46 : 308,449.94 = 122,912.46 : x
  2. Step 2: Convert to fraction form
    223,514.46/308,449.94 = 122,912.46/x
  3. Step 3: Cross multiply
    223,514.46x = 308,449.94 × 122,912.46
  4. Step 4: Simplify right side
    223,514.46x = 37,912,340,297.69
  5. Step 5: Solve for x
    x = 37,912,340,297.69/223,514.46
  6. Step 6: Final answer
    x = 169,619.18

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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.