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Finding the Fourth Proportional to 86,654.48, 129,986.33 and 27,494.78

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Solution

The fourth proportional to 86,654.48, 129,986.33 and 27,494.78 is: 41,243.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,654.48 : 129,986.33 = 27,494.78 : x
  2. Step 2: Convert to fraction form
    86,654.48/129,986.33 = 27,494.78/x
  3. Step 3: Cross multiply
    86,654.48x = 129,986.33 × 27,494.78
  4. Step 4: Simplify right side
    86,654.48x = 3,573,944,758.95
  5. Step 5: Solve for x
    x = 3,573,944,758.95/86,654.48
  6. Step 6: Final answer
    x = 41,243.63

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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.