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Finding the Fourth Proportional to 76.57, 105.61 and 73.12

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Solution

The fourth proportional to 76.57, 105.61 and 73.12 is: 100.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.57 : 105.61 = 73.12 : x
  2. Step 2: Convert to fraction form
    76.57/105.61 = 73.12/x
  3. Step 3: Cross multiply
    76.57x = 105.61 × 73.12
  4. Step 4: Simplify right side
    76.57x = 7,722.20
  5. Step 5: Solve for x
    x = 7,722.20/76.57
  6. Step 6: Final answer
    x = 100.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.