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Finding the Fourth Proportional to 228,718.11, 343,110.24 and 86,524.83

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Solution

The fourth proportional to 228,718.11, 343,110.24 and 86,524.83 is: 129,799.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,718.11 : 343,110.24 = 86,524.83 : x
  2. Step 2: Convert to fraction form
    228,718.11/343,110.24 = 86,524.83/x
  3. Step 3: Cross multiply
    228,718.11x = 343,110.24 × 86,524.83
  4. Step 4: Simplify right side
    228,718.11x = 29,687,555,187.26
  5. Step 5: Solve for x
    x = 29,687,555,187.26/228,718.11
  6. Step 6: Final answer
    x = 129,799.76

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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.