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Finding the Fourth Proportional to 142.02, 196.06 and 86.02

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Solution

The fourth proportional to 142.02, 196.06 and 86.02 is: 118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.02 : 196.06 = 86.02 : x
  2. Step 2: Convert to fraction form
    142.02/196.06 = 86.02/x
  3. Step 3: Cross multiply
    142.02x = 196.06 × 86.02
  4. Step 4: Simplify right side
    142.02x = 16,865.08
  5. Step 5: Solve for x
    x = 16,865.08/142.02
  6. Step 6: Final answer
    x = 118.75

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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.