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Finding the Fourth Proportional to 91.87, 138.43 and 75.98

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Solution

The fourth proportional to 91.87, 138.43 and 75.98 is: 114.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.87 : 138.43 = 75.98 : x
  2. Step 2: Convert to fraction form
    91.87/138.43 = 75.98/x
  3. Step 3: Cross multiply
    91.87x = 138.43 × 75.98
  4. Step 4: Simplify right side
    91.87x = 10,517.66
  5. Step 5: Solve for x
    x = 10,517.66/91.87
  6. Step 6: Final answer
    x = 114.48

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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.