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Finding the Fourth Proportional to 92.42, 126.95 and 89.69

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Solution

The fourth proportional to 92.42, 126.95 and 89.69 is: 123.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.42 : 126.95 = 89.69 : x
  2. Step 2: Convert to fraction form
    92.42/126.95 = 89.69/x
  3. Step 3: Cross multiply
    92.42x = 126.95 × 89.69
  4. Step 4: Simplify right side
    92.42x = 11,385.31
  5. Step 5: Solve for x
    x = 11,385.31/92.42
  6. Step 6: Final answer
    x = 123.19

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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.