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Finding the Fourth Proportional to 76.18, 113.52 and 73.75

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Solution

The fourth proportional to 76.18, 113.52 and 73.75 is: 109.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.18 : 113.52 = 73.75 : x
  2. Step 2: Convert to fraction form
    76.18/113.52 = 73.75/x
  3. Step 3: Cross multiply
    76.18x = 113.52 × 73.75
  4. Step 4: Simplify right side
    76.18x = 8,372.10
  5. Step 5: Solve for x
    x = 8,372.10/76.18
  6. Step 6: Final answer
    x = 109.90

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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.