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Finding the Fourth Proportional to 142.07, 196.04 and 95.43

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Solution

The fourth proportional to 142.07, 196.04 and 95.43 is: 131.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.07 : 196.04 = 95.43 : x
  2. Step 2: Convert to fraction form
    142.07/196.04 = 95.43/x
  3. Step 3: Cross multiply
    142.07x = 196.04 × 95.43
  4. Step 4: Simplify right side
    142.07x = 18,708.10
  5. Step 5: Solve for x
    x = 18,708.10/142.07
  6. Step 6: Final answer
    x = 131.69

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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.