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Finding the Fourth Proportional to 91.85, 137.16 and 75.60

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Solution

The fourth proportional to 91.85, 137.16 and 75.60 is: 112.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.85 : 137.16 = 75.60 : x
  2. Step 2: Convert to fraction form
    91.85/137.16 = 75.60/x
  3. Step 3: Cross multiply
    91.85x = 137.16 × 75.60
  4. Step 4: Simplify right side
    91.85x = 10,369.30
  5. Step 5: Solve for x
    x = 10,369.30/91.85
  6. Step 6: Final answer
    x = 112.90

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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.