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Finding the Fourth Proportional to 76.17, 113.61 and 71.88

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Solution

The fourth proportional to 76.17, 113.61 and 71.88 is: 107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.17 : 113.61 = 71.88 : x
  2. Step 2: Convert to fraction form
    76.17/113.61 = 71.88/x
  3. Step 3: Cross multiply
    76.17x = 113.61 × 71.88
  4. Step 4: Simplify right side
    76.17x = 8,166.29
  5. Step 5: Solve for x
    x = 8,166.29/76.17
  6. Step 6: Final answer
    x = 107.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.