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Finding the Fourth Proportional to 90.62, 135.78 and 54.50

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Solution

The fourth proportional to 90.62, 135.78 and 54.50 is: 81.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.62 : 135.78 = 54.50 : x
  2. Step 2: Convert to fraction form
    90.62/135.78 = 54.50/x
  3. Step 3: Cross multiply
    90.62x = 135.78 × 54.50
  4. Step 4: Simplify right side
    90.62x = 7,400.01
  5. Step 5: Solve for x
    x = 7,400.01/90.62
  6. Step 6: Final answer
    x = 81.66

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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.