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Finding the Fourth Proportional to 104.50, 143.80 and 79.84

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Solution

The fourth proportional to 104.50, 143.80 and 79.84 is: 109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    104.50 : 143.80 = 79.84 : x
  2. Step 2: Convert to fraction form
    104.50/143.80 = 79.84/x
  3. Step 3: Cross multiply
    104.50x = 143.80 × 79.84
  4. Step 4: Simplify right side
    104.50x = 11,480.99
  5. Step 5: Solve for x
    x = 11,480.99/104.50
  6. Step 6: Final answer
    x = 109.87

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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.