Finding the Fourth Proportional to 122.97, 169.74 and 83.64
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Solution
The fourth proportional to 122.97, 169.74 and 83.64 is: 115.45
Step by Step Solution
- Step 1: Write the proportion equation
122.97 : 169.74 = 83.64 : x - Step 2: Convert to fraction form
122.97/169.74 = 83.64/x - Step 3: Cross multiply
122.97x = 169.74 × 83.64 - Step 4: Simplify right side
122.97x = 14,197.05 - Step 5: Solve for x
x = 14,197.05/122.97 - Step 6: Final answer
x = 115.45
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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.