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Finding the Fourth Proportional to 85.78, 118.37 and 46.96

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Solution

The fourth proportional to 85.78, 118.37 and 46.96 is: 64.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.78 : 118.37 = 46.96 : x
  2. Step 2: Convert to fraction form
    85.78/118.37 = 46.96/x
  3. Step 3: Cross multiply
    85.78x = 118.37 × 46.96
  4. Step 4: Simplify right side
    85.78x = 5,558.95
  5. Step 5: Solve for x
    x = 5,558.95/85.78
  6. Step 6: Final answer
    x = 64.81

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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.