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Finding the Fourth Proportional to 61.51, 92.63 and 54

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Solution

The fourth proportional to 61.51, 92.63 and 54 is: 81.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.51 : 92.63 = 54 : x
  2. Step 2: Convert to fraction form
    61.51/92.63 = 54/x
  3. Step 3: Cross multiply
    61.51x = 92.63 × 54
  4. Step 4: Simplify right side
    61.51x = 5,002.02
  5. Step 5: Solve for x
    x = 5,002.02/61.51
  6. Step 6: Final answer
    x = 81.32

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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.