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Finding the Fourth Proportional to 61.12, 92 and 54.48

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Solution

The fourth proportional to 61.12, 92 and 54.48 is: 82.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.12 : 92 = 54.48 : x
  2. Step 2: Convert to fraction form
    61.12/92 = 54.48/x
  3. Step 3: Cross multiply
    61.12x = 92 × 54.48
  4. Step 4: Simplify right side
    61.12x = 5,012.16
  5. Step 5: Solve for x
    x = 5,012.16/61.12
  6. Step 6: Final answer
    x = 82.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.