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Finding the Fourth Proportional to 105.99, 159.06 and 78.95

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Solution

The fourth proportional to 105.99, 159.06 and 78.95 is: 118.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.99 : 159.06 = 78.95 : x
  2. Step 2: Convert to fraction form
    105.99/159.06 = 78.95/x
  3. Step 3: Cross multiply
    105.99x = 159.06 × 78.95
  4. Step 4: Simplify right side
    105.99x = 12,556.99
  5. Step 5: Solve for x
    x = 12,556.99/105.99
  6. Step 6: Final answer
    x = 118.47

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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.