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Finding the Fourth Proportional to 81,861.17, 122,791.76 and 22,696.84

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Solution

The fourth proportional to 81,861.17, 122,791.76 and 22,696.84 is: 34,045.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,861.17 : 122,791.76 = 22,696.84 : x
  2. Step 2: Convert to fraction form
    81,861.17/122,791.76 = 22,696.84/x
  3. Step 3: Cross multiply
    81,861.17x = 122,791.76 × 22,696.84
  4. Step 4: Simplify right side
    81,861.17x = 2,786,985,237.02
  5. Step 5: Solve for x
    x = 2,786,985,237.02/81,861.17
  6. Step 6: Final answer
    x = 34,045.27

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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.