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Finding the Fourth Proportional to 76.16, 113.94 and 61.64

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Solution

The fourth proportional to 76.16, 113.94 and 61.64 is: 92.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.16 : 113.94 = 61.64 : x
  2. Step 2: Convert to fraction form
    76.16/113.94 = 61.64/x
  3. Step 3: Cross multiply
    76.16x = 113.94 × 61.64
  4. Step 4: Simplify right side
    76.16x = 7,023.26
  5. Step 5: Solve for x
    x = 7,023.26/76.16
  6. Step 6: Final answer
    x = 92.22

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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.