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Finding the Fourth Proportional to 109.11, 150.59 and 78.03

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Solution

The fourth proportional to 109.11, 150.59 and 78.03 is: 107.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.11 : 150.59 = 78.03 : x
  2. Step 2: Convert to fraction form
    109.11/150.59 = 78.03/x
  3. Step 3: Cross multiply
    109.11x = 150.59 × 78.03
  4. Step 4: Simplify right side
    109.11x = 11,750.73
  5. Step 5: Solve for x
    x = 11,750.73/109.11
  6. Step 6: Final answer
    x = 107.69

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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.