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Finding the Fourth Proportional to 61.87, 85.36 and 59.74

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Solution

The fourth proportional to 61.87, 85.36 and 59.74 is: 82.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.87 : 85.36 = 59.74 : x
  2. Step 2: Convert to fraction form
    61.87/85.36 = 59.74/x
  3. Step 3: Cross multiply
    61.87x = 85.36 × 59.74
  4. Step 4: Simplify right side
    61.87x = 5,099.04
  5. Step 5: Solve for x
    x = 5,099.04/61.87
  6. Step 6: Final answer
    x = 82.42

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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.