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Finding the Fourth Proportional to 143,378.53, 197,863.41 and 89,694.07

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Solution

The fourth proportional to 143,378.53, 197,863.41 and 89,694.07 is: 123,778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,378.53 : 197,863.41 = 89,694.07 : x
  2. Step 2: Convert to fraction form
    143,378.53/197,863.41 = 89,694.07/x
  3. Step 3: Cross multiply
    143,378.53x = 197,863.41 × 89,694.07
  4. Step 4: Simplify right side
    143,378.53x = 17,747,174,546.98
  5. Step 5: Solve for x
    x = 17,747,174,546.98/143,378.53
  6. Step 6: Final answer
    x = 123,778.47

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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.