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Finding the Fourth Proportional to 75.81, 113.76 and 71.49

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Solution

The fourth proportional to 75.81, 113.76 and 71.49 is: 107.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.81 : 113.76 = 71.49 : x
  2. Step 2: Convert to fraction form
    75.81/113.76 = 71.49/x
  3. Step 3: Cross multiply
    75.81x = 113.76 × 71.49
  4. Step 4: Simplify right side
    75.81x = 8,132.70
  5. Step 5: Solve for x
    x = 8,132.70/75.81
  6. Step 6: Final answer
    x = 107.28

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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.