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Finding the Fourth Proportional to 76.42, 113.71 and 76.14

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Solution

The fourth proportional to 76.42, 113.71 and 76.14 is: 113.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.42 : 113.71 = 76.14 : x
  2. Step 2: Convert to fraction form
    76.42/113.71 = 76.14/x
  3. Step 3: Cross multiply
    76.42x = 113.71 × 76.14
  4. Step 4: Simplify right side
    76.42x = 8,657.50
  5. Step 5: Solve for x
    x = 8,657.50/76.42
  6. Step 6: Final answer
    x = 113.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.