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Finding the Fourth Proportional to 122.83, 169.48 and 95.20

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Solution

The fourth proportional to 122.83, 169.48 and 95.20 is: 131.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122.83 : 169.48 = 95.20 : x
  2. Step 2: Convert to fraction form
    122.83/169.48 = 95.20/x
  3. Step 3: Cross multiply
    122.83x = 169.48 × 95.20
  4. Step 4: Simplify right side
    122.83x = 16,134.50
  5. Step 5: Solve for x
    x = 16,134.50/122.83
  6. Step 6: Final answer
    x = 131.36

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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.