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Finding the Fourth Proportional to 112.45, 168.72 and 61.03

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Solution

The fourth proportional to 112.45, 168.72 and 61.03 is: 91.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.45 : 168.72 = 61.03 : x
  2. Step 2: Convert to fraction form
    112.45/168.72 = 61.03/x
  3. Step 3: Cross multiply
    112.45x = 168.72 × 61.03
  4. Step 4: Simplify right side
    112.45x = 10,296.98
  5. Step 5: Solve for x
    x = 10,296.98/112.45
  6. Step 6: Final answer
    x = 91.57

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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.