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Finding the Fourth Proportional to 81,861.42, 122,792.14 and 22,697.09

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Solution

The fourth proportional to 81,861.42, 122,792.14 and 22,697.09 is: 34,045.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,861.42 : 122,792.14 = 22,697.09 : x
  2. Step 2: Convert to fraction form
    81,861.42/122,792.14 = 22,697.09/x
  3. Step 3: Cross multiply
    81,861.42x = 122,792.14 × 22,697.09
  4. Step 4: Simplify right side
    81,861.42x = 2,787,024,139.39
  5. Step 5: Solve for x
    x = 2,787,024,139.39/81,861.42
  6. Step 6: Final answer
    x = 34,045.64

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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.