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Finding the Fourth Proportional to 55,450, 76,520.90 and 31,576.68

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Solution

The fourth proportional to 55,450, 76,520.90 and 31,576.68 is: 43,575.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,450 : 76,520.90 = 31,576.68 : x
  2. Step 2: Convert to fraction form
    55,450/76,520.90 = 31,576.68/x
  3. Step 3: Cross multiply
    55,450x = 76,520.90 × 31,576.68
  4. Step 4: Simplify right side
    55,450x = 2,416,275,972.61
  5. Step 5: Solve for x
    x = 2,416,275,972.61/55,450
  6. Step 6: Final answer
    x = 43,575.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.