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Finding the Fourth Proportional to 81,475.76, 122,212.64 and 22,311.38

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Solution

The fourth proportional to 81,475.76, 122,212.64 and 22,311.38 is: 33,466.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,475.76 : 122,212.64 = 22,311.38 : x
  2. Step 2: Convert to fraction form
    81,475.76/122,212.64 = 22,311.38/x
  3. Step 3: Cross multiply
    81,475.76x = 122,212.64 × 22,311.38
  4. Step 4: Simplify right side
    81,475.76x = 2,726,732,651.84
  5. Step 5: Solve for x
    x = 2,726,732,651.84/81,475.76
  6. Step 6: Final answer
    x = 33,466.80

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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.