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Finding the Fourth Proportional to 81,861.77, 122,792.18 and 22,697.21

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Solution

The fourth proportional to 81,861.77, 122,792.18 and 22,697.21 is: 34,045.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,861.77 : 122,792.18 = 22,697.21 : x
  2. Step 2: Convert to fraction form
    81,861.77/122,792.18 = 22,697.21/x
  3. Step 3: Cross multiply
    81,861.77x = 122,792.18 × 22,697.21
  4. Step 4: Simplify right side
    81,861.77x = 2,787,039,168.37
  5. Step 5: Solve for x
    x = 2,787,039,168.37/81,861.77
  6. Step 6: Final answer
    x = 34,045.68

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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.