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Finding the Fourth Proportional to 149,195.87, 205,894.94 and 81,217.37

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Solution

The fourth proportional to 149,195.87, 205,894.94 and 81,217.37 is: 112,082.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,195.87 : 205,894.94 = 81,217.37 : x
  2. Step 2: Convert to fraction form
    149,195.87/205,894.94 = 81,217.37/x
  3. Step 3: Cross multiply
    149,195.87x = 205,894.94 × 81,217.37
  4. Step 4: Simplify right side
    149,195.87x = 16,722,244,087.55
  5. Step 5: Solve for x
    x = 16,722,244,087.55/149,195.87
  6. Step 6: Final answer
    x = 112,082.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.