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Finding the Fourth Proportional to 81,406.62, 122,011.50 and 41,942.20

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Solution

The fourth proportional to 81,406.62, 122,011.50 and 41,942.20 is: 62,862.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,406.62 : 122,011.50 = 41,942.20 : x
  2. Step 2: Convert to fraction form
    81,406.62/122,011.50 = 41,942.20/x
  3. Step 3: Cross multiply
    81,406.62x = 122,011.50 × 41,942.20
  4. Step 4: Simplify right side
    81,406.62x = 5,117,430,735.30
  5. Step 5: Solve for x
    x = 5,117,430,735.30/81,406.62
  6. Step 6: Final answer
    x = 62,862.59

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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.