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Finding the Fourth Proportional to 142.12, 196.58 and 116.84

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Solution

The fourth proportional to 142.12, 196.58 and 116.84 is: 161.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    142.12 : 196.58 = 116.84 : x
  2. Step 2: Convert to fraction form
    142.12/196.58 = 116.84/x
  3. Step 3: Cross multiply
    142.12x = 196.58 × 116.84
  4. Step 4: Simplify right side
    142.12x = 22,968.41
  5. Step 5: Solve for x
    x = 22,968.41/142.12
  6. Step 6: Final answer
    x = 161.61

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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.