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Finding the Fourth Proportional to 104.83, 157.16 and 82.05

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Solution

The fourth proportional to 104.83, 157.16 and 82.05 is: 123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.83 : 157.16 = 82.05 : x
  2. Step 2: Convert to fraction form
    104.83/157.16 = 82.05/x
  3. Step 3: Cross multiply
    104.83x = 157.16 × 82.05
  4. Step 4: Simplify right side
    104.83x = 12,894.98
  5. Step 5: Solve for x
    x = 12,894.98/104.83
  6. Step 6: Final answer
    x = 123.01

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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.