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Finding the Fourth Proportional to 76.34, 104.70 and 72.87

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Solution

The fourth proportional to 76.34, 104.70 and 72.87 is: 99.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.34 : 104.70 = 72.87 : x
  2. Step 2: Convert to fraction form
    76.34/104.70 = 72.87/x
  3. Step 3: Cross multiply
    76.34x = 104.70 × 72.87
  4. Step 4: Simplify right side
    76.34x = 7,629.49
  5. Step 5: Solve for x
    x = 7,629.49/76.34
  6. Step 6: Final answer
    x = 99.95

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.