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Finding the Fourth Proportional to 112.53, 168.64 and 61.15

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Solution

The fourth proportional to 112.53, 168.64 and 61.15 is: 91.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.53 : 168.64 = 61.15 : x
  2. Step 2: Convert to fraction form
    112.53/168.64 = 61.15/x
  3. Step 3: Cross multiply
    112.53x = 168.64 × 61.15
  4. Step 4: Simplify right side
    112.53x = 10,312.34
  5. Step 5: Solve for x
    x = 10,312.34/112.53
  6. Step 6: Final answer
    x = 91.64

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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.