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Finding the Fourth Proportional to 104.93, 157.43 and 82.12

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Solution

The fourth proportional to 104.93, 157.43 and 82.12 is: 123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.93 : 157.43 = 82.12 : x
  2. Step 2: Convert to fraction form
    104.93/157.43 = 82.12/x
  3. Step 3: Cross multiply
    104.93x = 157.43 × 82.12
  4. Step 4: Simplify right side
    104.93x = 12,927.96
  5. Step 5: Solve for x
    x = 12,927.96/104.93
  6. Step 6: Final answer
    x = 123.20

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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.