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Finding the Fourth Proportional to 75.22, 112.48 and 54.71

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Solution

The fourth proportional to 75.22, 112.48 and 54.71 is: 81.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.22 : 112.48 = 54.71 : x
  2. Step 2: Convert to fraction form
    75.22/112.48 = 54.71/x
  3. Step 3: Cross multiply
    75.22x = 112.48 × 54.71
  4. Step 4: Simplify right side
    75.22x = 6,154.14
  5. Step 5: Solve for x
    x = 6,154.14/75.22
  6. Step 6: Final answer
    x = 81.82

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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.