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Finding the Fourth Proportional to 218,676.05, 328,049.21 and 76,518.14

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Solution

The fourth proportional to 218,676.05, 328,049.21 and 76,518.14 is: 114,789.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,676.05 : 328,049.21 = 76,518.14 : x
  2. Step 2: Convert to fraction form
    218,676.05/328,049.21 = 76,518.14/x
  3. Step 3: Cross multiply
    218,676.05x = 328,049.21 × 76,518.14
  4. Step 4: Simplify right side
    218,676.05x = 25,101,716,389.09
  5. Step 5: Solve for x
    x = 25,101,716,389.09/218,676.05
  6. Step 6: Final answer
    x = 114,789.51

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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.