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Finding the Fourth Proportional to 75.38, 112.61 and 63.23

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Solution

The fourth proportional to 75.38, 112.61 and 63.23 is: 94.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.38 : 112.61 = 63.23 : x
  2. Step 2: Convert to fraction form
    75.38/112.61 = 63.23/x
  3. Step 3: Cross multiply
    75.38x = 112.61 × 63.23
  4. Step 4: Simplify right side
    75.38x = 7,120.01
  5. Step 5: Solve for x
    x = 7,120.01/75.38
  6. Step 6: Final answer
    x = 94.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.