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Finding the Fourth Proportional to 142.07, 196.10 and 86.81

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Solution

The fourth proportional to 142.07, 196.10 and 86.81 is: 119.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.07 : 196.10 = 86.81 : x
  2. Step 2: Convert to fraction form
    142.07/196.10 = 86.81/x
  3. Step 3: Cross multiply
    142.07x = 196.10 × 86.81
  4. Step 4: Simplify right side
    142.07x = 17,022.03
  5. Step 5: Solve for x
    x = 17,022.03/142.07
  6. Step 6: Final answer
    x = 119.82

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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.