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Finding the Fourth Proportional to 105.12, 144.81 and 84.36

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Solution

The fourth proportional to 105.12, 144.81 and 84.36 is: 116.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.12 : 144.81 = 84.36 : x
  2. Step 2: Convert to fraction form
    105.12/144.81 = 84.36/x
  3. Step 3: Cross multiply
    105.12x = 144.81 × 84.36
  4. Step 4: Simplify right side
    105.12x = 12,216.17
  5. Step 5: Solve for x
    x = 12,216.17/105.12
  6. Step 6: Final answer
    x = 116.21

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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.