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Finding the Fourth Proportional to 149,668.25, 206,546.49 and 81,689.58

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Solution

The fourth proportional to 149,668.25, 206,546.49 and 81,689.58 is: 112,733.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,668.25 : 206,546.49 = 81,689.58 : x
  2. Step 2: Convert to fraction form
    149,668.25/206,546.49 = 81,689.58/x
  3. Step 3: Cross multiply
    149,668.25x = 206,546.49 × 81,689.58
  4. Step 4: Simplify right side
    149,668.25x = 16,872,696,018.57
  5. Step 5: Solve for x
    x = 16,872,696,018.57/149,668.25
  6. Step 6: Final answer
    x = 112,733.97

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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.