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Finding the Fourth Proportional to 109,087.75, 150,542.92 and 71,362

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Solution

The fourth proportional to 109,087.75, 150,542.92 and 71,362 is: 98,480.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,087.75 : 150,542.92 = 71,362 : x
  2. Step 2: Convert to fraction form
    109,087.75/150,542.92 = 71,362/x
  3. Step 3: Cross multiply
    109,087.75x = 150,542.92 × 71,362
  4. Step 4: Simplify right side
    109,087.75x = 10,743,043,857.04
  5. Step 5: Solve for x
    x = 10,743,043,857.04/109,087.75
  6. Step 6: Final answer
    x = 98,480.75

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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.