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Finding the Fourth Proportional to 85.33, 117.74 and 54.19

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Solution

The fourth proportional to 85.33, 117.74 and 54.19 is: 74.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.33 : 117.74 = 54.19 : x
  2. Step 2: Convert to fraction form
    85.33/117.74 = 54.19/x
  3. Step 3: Cross multiply
    85.33x = 117.74 × 54.19
  4. Step 4: Simplify right side
    85.33x = 6,380.33
  5. Step 5: Solve for x
    x = 6,380.33/85.33
  6. Step 6: Final answer
    x = 74.77

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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.