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Finding the Fourth Proportional to 91.78, 137.15 and 74.46

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Solution

The fourth proportional to 91.78, 137.15 and 74.46 is: 111.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.78 : 137.15 = 74.46 : x
  2. Step 2: Convert to fraction form
    91.78/137.15 = 74.46/x
  3. Step 3: Cross multiply
    91.78x = 137.15 × 74.46
  4. Step 4: Simplify right side
    91.78x = 10,212.38
  5. Step 5: Solve for x
    x = 10,212.38/91.78
  6. Step 6: Final answer
    x = 111.27

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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.