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Finding the Fourth Proportional to 137,491.43, 189,735.01 and 80,127.09

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Solution

The fourth proportional to 137,491.43, 189,735.01 and 80,127.09 is: 110,573.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,491.43 : 189,735.01 = 80,127.09 : x
  2. Step 2: Convert to fraction form
    137,491.43/189,735.01 = 80,127.09/x
  3. Step 3: Cross multiply
    137,491.43x = 189,735.01 × 80,127.09
  4. Step 4: Simplify right side
    137,491.43x = 15,202,914,022.10
  5. Step 5: Solve for x
    x = 15,202,914,022.10/137,491.43
  6. Step 6: Final answer
    x = 110,573.54

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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.