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Finding the Fourth Proportional to 92.74, 128.02 and 53.92

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Solution

The fourth proportional to 92.74, 128.02 and 53.92 is: 74.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.74 : 128.02 = 53.92 : x
  2. Step 2: Convert to fraction form
    92.74/128.02 = 53.92/x
  3. Step 3: Cross multiply
    92.74x = 128.02 × 53.92
  4. Step 4: Simplify right side
    92.74x = 6,902.20
  5. Step 5: Solve for x
    x = 6,902.20/92.74
  6. Step 6: Final answer
    x = 74.43

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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.