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Finding the Fourth Proportional to 112.49, 168.75 and 35.47

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Solution

The fourth proportional to 112.49, 168.75 and 35.47 is: 53.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.49 : 168.75 = 35.47 : x
  2. Step 2: Convert to fraction form
    112.49/168.75 = 35.47/x
  3. Step 3: Cross multiply
    112.49x = 168.75 × 35.47
  4. Step 4: Simplify right side
    112.49x = 5,985.39
  5. Step 5: Solve for x
    x = 5,985.39/112.49
  6. Step 6: Final answer
    x = 53.21

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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.