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Finding the Fourth Proportional to 91.82, 125.90 and 90.74

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Solution

The fourth proportional to 91.82, 125.90 and 90.74 is: 124.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.82 : 125.90 = 90.74 : x
  2. Step 2: Convert to fraction form
    91.82/125.90 = 90.74/x
  3. Step 3: Cross multiply
    91.82x = 125.90 × 90.74
  4. Step 4: Simplify right side
    91.82x = 11,424.17
  5. Step 5: Solve for x
    x = 11,424.17/91.82
  6. Step 6: Final answer
    x = 124.42

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.