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Finding the Fourth Proportional to 92.95, 140.10 and 82.92

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Solution

The fourth proportional to 92.95, 140.10 and 82.92 is: 125.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.95 : 140.10 = 82.92 : x
  2. Step 2: Convert to fraction form
    92.95/140.10 = 82.92/x
  3. Step 3: Cross multiply
    92.95x = 140.10 × 82.92
  4. Step 4: Simplify right side
    92.95x = 11,618.01
  5. Step 5: Solve for x
    x = 11,618.01/92.95
  6. Step 6: Final answer
    x = 125.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.