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Finding the Fourth Proportional to 112.50, 168.78 and 83.64

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Solution

The fourth proportional to 112.50, 168.78 and 83.64 is: 125.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.50 : 168.78 = 83.64 : x
  2. Step 2: Convert to fraction form
    112.50/168.78 = 83.64/x
  3. Step 3: Cross multiply
    112.50x = 168.78 × 83.64
  4. Step 4: Simplify right side
    112.50x = 14,116.76
  5. Step 5: Solve for x
    x = 14,116.76/112.50
  6. Step 6: Final answer
    x = 125.48

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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.