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Finding the Fourth Proportional to 107.84, 147.91 and 105.14

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Solution

The fourth proportional to 107.84, 147.91 and 105.14 is: 144.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.84 : 147.91 = 105.14 : x
  2. Step 2: Convert to fraction form
    107.84/147.91 = 105.14/x
  3. Step 3: Cross multiply
    107.84x = 147.91 × 105.14
  4. Step 4: Simplify right side
    107.84x = 15,551.26
  5. Step 5: Solve for x
    x = 15,551.26/107.84
  6. Step 6: Final answer
    x = 144.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.