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Finding the Fourth Proportional to 75, 112.56 and 32.25

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Solution

The fourth proportional to 75, 112.56 and 32.25 is: 48.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75 : 112.56 = 32.25 : x
  2. Step 2: Convert to fraction form
    75/112.56 = 32.25/x
  3. Step 3: Cross multiply
    75x = 112.56 × 32.25
  4. Step 4: Simplify right side
    75x = 3,630.06
  5. Step 5: Solve for x
    x = 3,630.06/75
  6. Step 6: Final answer
    x = 48.40

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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.