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Finding the Fourth Proportional to 142.10, 194.94 and 138.52

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Solution

The fourth proportional to 142.10, 194.94 and 138.52 is: 190.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.10 : 194.94 = 138.52 : x
  2. Step 2: Convert to fraction form
    142.10/194.94 = 138.52/x
  3. Step 3: Cross multiply
    142.10x = 194.94 × 138.52
  4. Step 4: Simplify right side
    142.10x = 27,003.09
  5. Step 5: Solve for x
    x = 27,003.09/142.10
  6. Step 6: Final answer
    x = 190.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.