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Finding the Fourth Proportional to 57.65, 85.86 and 54.14

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Solution

The fourth proportional to 57.65, 85.86 and 54.14 is: 80.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.65 : 85.86 = 54.14 : x
  2. Step 2: Convert to fraction form
    57.65/85.86 = 54.14/x
  3. Step 3: Cross multiply
    57.65x = 85.86 × 54.14
  4. Step 4: Simplify right side
    57.65x = 4,648.03
  5. Step 5: Solve for x
    x = 4,648.03/57.65
  6. Step 6: Final answer
    x = 80.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.