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Finding the Fourth Proportional to 54,658.31, 81,992.90 and 15,215.42

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Solution

The fourth proportional to 54,658.31, 81,992.90 and 15,215.42 is: 22,824.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,658.31 : 81,992.90 = 15,215.42 : x
  2. Step 2: Convert to fraction form
    54,658.31/81,992.90 = 15,215.42/x
  3. Step 3: Cross multiply
    54,658.31x = 81,992.90 × 15,215.42
  4. Step 4: Simplify right side
    54,658.31x = 1,247,556,653.54
  5. Step 5: Solve for x
    x = 1,247,556,653.54/54,658.31
  6. Step 6: Final answer
    x = 22,824.65

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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.