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Finding the Fourth Proportional to 97.76, 134.78 and 71.84

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Solution

The fourth proportional to 97.76, 134.78 and 71.84 is: 99.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.76 : 134.78 = 71.84 : x
  2. Step 2: Convert to fraction form
    97.76/134.78 = 71.84/x
  3. Step 3: Cross multiply
    97.76x = 134.78 × 71.84
  4. Step 4: Simplify right side
    97.76x = 9,682.60
  5. Step 5: Solve for x
    x = 9,682.60/97.76
  6. Step 6: Final answer
    x = 99.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.