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Finding the Fourth Proportional to 149,651.54, 206,517.36 and 81,669.67

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Solution

The fourth proportional to 149,651.54, 206,517.36 and 81,669.67 is: 112,703.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,651.54 : 206,517.36 = 81,669.67 : x
  2. Step 2: Convert to fraction form
    149,651.54/206,517.36 = 81,669.67/x
  3. Step 3: Cross multiply
    149,651.54x = 206,517.36 × 81,669.67
  4. Step 4: Simplify right side
    149,651.54x = 16,866,204,957.14
  5. Step 5: Solve for x
    x = 16,866,204,957.14/149,651.54
  6. Step 6: Final answer
    x = 112,703.18

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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.