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Finding the Fourth Proportional to 75.14, 113.37 and 71.78

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Solution

The fourth proportional to 75.14, 113.37 and 71.78 is: 108.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.14 : 113.37 = 71.78 : x
  2. Step 2: Convert to fraction form
    75.14/113.37 = 71.78/x
  3. Step 3: Cross multiply
    75.14x = 113.37 × 71.78
  4. Step 4: Simplify right side
    75.14x = 8,137.70
  5. Step 5: Solve for x
    x = 8,137.70/75.14
  6. Step 6: Final answer
    x = 108.30

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.