Finding the Fourth Proportional to 206,221.24, 284,571.84 and 121,321.92
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Solution
The fourth proportional to 206,221.24, 284,571.84 and 121,321.92 is: 167,416.32
Step by Step Solution
- Step 1: Write the proportion equation
206,221.24 : 284,571.84 = 121,321.92 : x - Step 2: Convert to fraction form
206,221.24/284,571.84 = 121,321.92/x - Step 3: Cross multiply
206,221.24x = 284,571.84 × 121,321.92 - Step 4: Simplify right side
206,221.24x = 34,524,802,006.73 - Step 5: Solve for x
x = 34,524,802,006.73/206,221.24 - Step 6: Final answer
x = 167,416.32
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1.5x scale
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.