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Finding the Fourth Proportional to 129.15, 194.63 and 107.98

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Solution

The fourth proportional to 129.15, 194.63 and 107.98 is: 162.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.15 : 194.63 = 107.98 : x
  2. Step 2: Convert to fraction form
    129.15/194.63 = 107.98/x
  3. Step 3: Cross multiply
    129.15x = 194.63 × 107.98
  4. Step 4: Simplify right side
    129.15x = 21,015.12
  5. Step 5: Solve for x
    x = 21,015.12/129.15
  6. Step 6: Final answer
    x = 162.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.