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Finding the Fourth Proportional to 91.17, 136.75 and 50.57

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Solution

The fourth proportional to 91.17, 136.75 and 50.57 is: 75.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.17 : 136.75 = 50.57 : x
  2. Step 2: Convert to fraction form
    91.17/136.75 = 50.57/x
  3. Step 3: Cross multiply
    91.17x = 136.75 × 50.57
  4. Step 4: Simplify right side
    91.17x = 6,914.83
  5. Step 5: Solve for x
    x = 6,914.83/91.17
  6. Step 6: Final answer
    x = 75.85

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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.