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Finding the Fourth Proportional to 112.38, 169.14 and 85.50

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Solution

The fourth proportional to 112.38, 169.14 and 85.50 is: 128.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.38 : 169.14 = 85.50 : x
  2. Step 2: Convert to fraction form
    112.38/169.14 = 85.50/x
  3. Step 3: Cross multiply
    112.38x = 169.14 × 85.50
  4. Step 4: Simplify right side
    112.38x = 14,461.47
  5. Step 5: Solve for x
    x = 14,461.47/112.38
  6. Step 6: Final answer
    x = 128.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.