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Finding the Fourth Proportional to 154,805.82, 213,634.38 and 86,837.88

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Solution

The fourth proportional to 154,805.82, 213,634.38 and 86,837.88 is: 119,837.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,805.82 : 213,634.38 = 86,837.88 : x
  2. Step 2: Convert to fraction form
    154,805.82/213,634.38 = 86,837.88/x
  3. Step 3: Cross multiply
    154,805.82x = 213,634.38 × 86,837.88
  4. Step 4: Simplify right side
    154,805.82x = 18,551,556,654.31
  5. Step 5: Solve for x
    x = 18,551,556,654.31/154,805.82
  6. Step 6: Final answer
    x = 119,837.59

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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.