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Finding the Fourth Proportional to 71.88, 108.24 and 51.73

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Solution

The fourth proportional to 71.88, 108.24 and 51.73 is: 77.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.88 : 108.24 = 51.73 : x
  2. Step 2: Convert to fraction form
    71.88/108.24 = 51.73/x
  3. Step 3: Cross multiply
    71.88x = 108.24 × 51.73
  4. Step 4: Simplify right side
    71.88x = 5,598.79
  5. Step 5: Solve for x
    x = 5,598.79/71.88
  6. Step 6: Final answer
    x = 77.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.