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Finding the Fourth Proportional to 92.23, 138.72 and 83.77

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Solution

The fourth proportional to 92.23, 138.72 and 83.77 is: 126.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.23 : 138.72 = 83.77 : x
  2. Step 2: Convert to fraction form
    92.23/138.72 = 83.77/x
  3. Step 3: Cross multiply
    92.23x = 138.72 × 83.77
  4. Step 4: Simplify right side
    92.23x = 11,620.57
  5. Step 5: Solve for x
    x = 11,620.57/92.23
  6. Step 6: Final answer
    x = 126.00

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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.