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Finding the Fourth Proportional to 92.01, 126.90 and 59.23

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Solution

The fourth proportional to 92.01, 126.90 and 59.23 is: 81.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.01 : 126.90 = 59.23 : x
  2. Step 2: Convert to fraction form
    92.01/126.90 = 59.23/x
  3. Step 3: Cross multiply
    92.01x = 126.90 × 59.23
  4. Step 4: Simplify right side
    92.01x = 7,516.12
  5. Step 5: Solve for x
    x = 7,516.12/92.01
  6. Step 6: Final answer
    x = 81.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.