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Finding the Fourth Proportional to 216,676.31, 324,956.14 and 76,416.71

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Solution

The fourth proportional to 216,676.31, 324,956.14 and 76,416.71 is: 114,604.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,676.31 : 324,956.14 = 76,416.71 : x
  2. Step 2: Convert to fraction form
    216,676.31/324,956.14 = 76,416.71/x
  3. Step 3: Cross multiply
    216,676.31x = 324,956.14 × 76,416.71
  4. Step 4: Simplify right side
    216,676.31x = 24,832,077,297.28
  5. Step 5: Solve for x
    x = 24,832,077,297.28/216,676.31
  6. Step 6: Final answer
    x = 114,604.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.