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Finding the Fourth Proportional to 76.45, 113.92 and 73.18

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Solution

The fourth proportional to 76.45, 113.92 and 73.18 is: 109.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.45 : 113.92 = 73.18 : x
  2. Step 2: Convert to fraction form
    76.45/113.92 = 73.18/x
  3. Step 3: Cross multiply
    76.45x = 113.92 × 73.18
  4. Step 4: Simplify right side
    76.45x = 8,336.67
  5. Step 5: Solve for x
    x = 8,336.67/76.45
  6. Step 6: Final answer
    x = 109.05

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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.