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Finding the Fourth Proportional to 112.55, 167.58 and 105.87

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Solution

The fourth proportional to 112.55, 167.58 and 105.87 is: 157.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.55 : 167.58 = 105.87 : x
  2. Step 2: Convert to fraction form
    112.55/167.58 = 105.87/x
  3. Step 3: Cross multiply
    112.55x = 167.58 × 105.87
  4. Step 4: Simplify right side
    112.55x = 17,741.69
  5. Step 5: Solve for x
    x = 17,741.69/112.55
  6. Step 6: Final answer
    x = 157.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.