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Finding the Fourth Proportional to 54.35, 81.62 and 51.95

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Solution

The fourth proportional to 54.35, 81.62 and 51.95 is: 78.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    54.35 : 81.62 = 51.95 : x
  2. Step 2: Convert to fraction form
    54.35/81.62 = 51.95/x
  3. Step 3: Cross multiply
    54.35x = 81.62 × 51.95
  4. Step 4: Simplify right side
    54.35x = 4,240.16
  5. Step 5: Solve for x
    x = 4,240.16/54.35
  6. Step 6: Final answer
    x = 78.02

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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.