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Finding the Fourth Proportional to 75.71, 112.14 and 74.90

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Solution

The fourth proportional to 75.71, 112.14 and 74.90 is: 110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.71 : 112.14 = 74.90 : x
  2. Step 2: Convert to fraction form
    75.71/112.14 = 74.90/x
  3. Step 3: Cross multiply
    75.71x = 112.14 × 74.90
  4. Step 4: Simplify right side
    75.71x = 8,398.73
  5. Step 5: Solve for x
    x = 8,398.73/75.71
  6. Step 6: Final answer
    x = 110.94

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.