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Finding the Fourth Proportional to 91.99, 137.74 and 50.77

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Solution

The fourth proportional to 91.99, 137.74 and 50.77 is: 76.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.99 : 137.74 = 50.77 : x
  2. Step 2: Convert to fraction form
    91.99/137.74 = 50.77/x
  3. Step 3: Cross multiply
    91.99x = 137.74 × 50.77
  4. Step 4: Simplify right side
    91.99x = 6,993.06
  5. Step 5: Solve for x
    x = 6,993.06/91.99
  6. Step 6: Final answer
    x = 76.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.