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Finding the Fourth Proportional to 76.88, 105.95 and 57.24

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Solution

The fourth proportional to 76.88, 105.95 and 57.24 is: 78.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.88 : 105.95 = 57.24 : x
  2. Step 2: Convert to fraction form
    76.88/105.95 = 57.24/x
  3. Step 3: Cross multiply
    76.88x = 105.95 × 57.24
  4. Step 4: Simplify right side
    76.88x = 6,064.29
  5. Step 5: Solve for x
    x = 6,064.29/76.88
  6. Step 6: Final answer
    x = 78.89

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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.