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Finding the Fourth Proportional to 97.76, 134.87 and 59.89

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Solution

The fourth proportional to 97.76, 134.87 and 59.89 is: 82.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.76 : 134.87 = 59.89 : x
  2. Step 2: Convert to fraction form
    97.76/134.87 = 59.89/x
  3. Step 3: Cross multiply
    97.76x = 134.87 × 59.89
  4. Step 4: Simplify right side
    97.76x = 8,076.39
  5. Step 5: Solve for x
    x = 8,076.39/97.76
  6. Step 6: Final answer
    x = 82.62

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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.