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Finding the Fourth Proportional to 76.14, 114.89 and 72.81

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Solution

The fourth proportional to 76.14, 114.89 and 72.81 is: 109.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.14 : 114.89 = 72.81 : x
  2. Step 2: Convert to fraction form
    76.14/114.89 = 72.81/x
  3. Step 3: Cross multiply
    76.14x = 114.89 × 72.81
  4. Step 4: Simplify right side
    76.14x = 8,364.78
  5. Step 5: Solve for x
    x = 8,364.78/76.14
  6. Step 6: Final answer
    x = 109.86

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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.