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Finding the Fourth Proportional to 77,050, 106,329 and 41,722

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Solution

The fourth proportional to 77,050, 106,329 and 41,722 is: 57,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,050 : 106,329 = 41,722 : x
  2. Step 2: Convert to fraction form
    77,050/106,329 = 41,722/x
  3. Step 3: Cross multiply
    77,050x = 106,329 × 41,722
  4. Step 4: Simplify right side
    77,050x = 4,436,258,538
  5. Step 5: Solve for x
    x = 4,436,258,538/77,050
  6. Step 6: Final answer
    x = 57,576.36

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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.