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Finding the Fourth Proportional to 205,514.96, 308,278.94 and 55,754.88

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Solution

The fourth proportional to 205,514.96, 308,278.94 and 55,754.88 is: 83,634.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,514.96 : 308,278.94 = 55,754.88 : x
  2. Step 2: Convert to fraction form
    205,514.96/308,278.94 = 55,754.88/x
  3. Step 3: Cross multiply
    205,514.96x = 308,278.94 × 55,754.88
  4. Step 4: Simplify right side
    205,514.96x = 17,188,055,306.23
  5. Step 5: Solve for x
    x = 17,188,055,306.23/205,514.96
  6. Step 6: Final answer
    x = 83,634.08

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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.