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Finding the Fourth Proportional to 72.76, 108.96 and 51.16

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Solution

The fourth proportional to 72.76, 108.96 and 51.16 is: 76.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    72.76 : 108.96 = 51.16 : x
  2. Step 2: Convert to fraction form
    72.76/108.96 = 51.16/x
  3. Step 3: Cross multiply
    72.76x = 108.96 × 51.16
  4. Step 4: Simplify right side
    72.76x = 5,574.39
  5. Step 5: Solve for x
    x = 5,574.39/72.76
  6. Step 6: Final answer
    x = 76.61

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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.