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Finding the Fourth Proportional to 76.03, 113.77 and 54.31

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Solution

The fourth proportional to 76.03, 113.77 and 54.31 is: 81.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.03 : 113.77 = 54.31 : x
  2. Step 2: Convert to fraction form
    76.03/113.77 = 54.31/x
  3. Step 3: Cross multiply
    76.03x = 113.77 × 54.31
  4. Step 4: Simplify right side
    76.03x = 6,178.85
  5. Step 5: Solve for x
    x = 6,178.85/76.03
  6. Step 6: Final answer
    x = 81.27

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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.