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Finding the Fourth Proportional to 112.35, 168.36 and 86.58

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Solution

The fourth proportional to 112.35, 168.36 and 86.58 is: 129.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.35 : 168.36 = 86.58 : x
  2. Step 2: Convert to fraction form
    112.35/168.36 = 86.58/x
  3. Step 3: Cross multiply
    112.35x = 168.36 × 86.58
  4. Step 4: Simplify right side
    112.35x = 14,576.61
  5. Step 5: Solve for x
    x = 14,576.61/112.35
  6. Step 6: Final answer
    x = 129.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.