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Finding the Fourth Proportional to 76.24, 105.12 and 57.86

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Solution

The fourth proportional to 76.24, 105.12 and 57.86 is: 79.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.24 : 105.12 = 57.86 : x
  2. Step 2: Convert to fraction form
    76.24/105.12 = 57.86/x
  3. Step 3: Cross multiply
    76.24x = 105.12 × 57.86
  4. Step 4: Simplify right side
    76.24x = 6,082.24
  5. Step 5: Solve for x
    x = 6,082.24/76.24
  6. Step 6: Final answer
    x = 79.78

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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.