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Finding the Fourth Proportional to 112.87, 169.03 and 112.06

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Solution

The fourth proportional to 112.87, 169.03 and 112.06 is: 167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.87 : 169.03 = 112.06 : x
  2. Step 2: Convert to fraction form
    112.87/169.03 = 112.06/x
  3. Step 3: Cross multiply
    112.87x = 169.03 × 112.06
  4. Step 4: Simplify right side
    112.87x = 18,941.50
  5. Step 5: Solve for x
    x = 18,941.50/112.87
  6. Step 6: Final answer
    x = 167.82

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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.