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Finding the Fourth Proportional to 86,291, 129,249.54 and 41,824.73

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Solution

The fourth proportional to 86,291, 129,249.54 and 41,824.73 is: 62,646.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,291 : 129,249.54 = 41,824.73 : x
  2. Step 2: Convert to fraction form
    86,291/129,249.54 = 41,824.73/x
  3. Step 3: Cross multiply
    86,291x = 129,249.54 × 41,824.73
  4. Step 4: Simplify right side
    86,291x = 5,405,827,113.12
  5. Step 5: Solve for x
    x = 5,405,827,113.12/86,291
  6. Step 6: Final answer
    x = 62,646.48

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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.