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Finding the Fourth Proportional to 74.95, 111.97 and 61.28

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Solution

The fourth proportional to 74.95, 111.97 and 61.28 is: 91.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.95 : 111.97 = 61.28 : x
  2. Step 2: Convert to fraction form
    74.95/111.97 = 61.28/x
  3. Step 3: Cross multiply
    74.95x = 111.97 × 61.28
  4. Step 4: Simplify right side
    74.95x = 6,861.69
  5. Step 5: Solve for x
    x = 6,861.69/74.95
  6. Step 6: Final answer
    x = 91.55

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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.