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Finding the Fourth Proportional to 109, 150.36 and 76.24

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Solution

The fourth proportional to 109, 150.36 and 76.24 is: 105.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    109 : 150.36 = 76.24 : x
  2. Step 2: Convert to fraction form
    109/150.36 = 76.24/x
  3. Step 3: Cross multiply
    109x = 150.36 × 76.24
  4. Step 4: Simplify right side
    109x = 11,463.45
  5. Step 5: Solve for x
    x = 11,463.45/109
  6. Step 6: Final answer
    x = 105.17

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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.