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Finding the Fourth Proportional to 81.70, 122.50 and 59.75

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Solution

The fourth proportional to 81.70, 122.50 and 59.75 is: 89.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.70 : 122.50 = 59.75 : x
  2. Step 2: Convert to fraction form
    81.70/122.50 = 59.75/x
  3. Step 3: Cross multiply
    81.70x = 122.50 × 59.75
  4. Step 4: Simplify right side
    81.70x = 7,319.38
  5. Step 5: Solve for x
    x = 7,319.38/81.70
  6. Step 6: Final answer
    x = 89.59

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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.