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Finding the Fourth Proportional to 92.12, 137.86 and 90.75

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Solution

The fourth proportional to 92.12, 137.86 and 90.75 is: 135.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.12 : 137.86 = 90.75 : x
  2. Step 2: Convert to fraction form
    92.12/137.86 = 90.75/x
  3. Step 3: Cross multiply
    92.12x = 137.86 × 90.75
  4. Step 4: Simplify right side
    92.12x = 12,510.57
  5. Step 5: Solve for x
    x = 12,510.57/92.12
  6. Step 6: Final answer
    x = 135.80

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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.