Finding the Fourth Proportional to 209,912.26, 289,674.60 and 114,418.12
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Solution
The fourth proportional to 209,912.26, 289,674.60 and 114,418.12 is: 157,894.65
Step by Step Solution
- Step 1: Write the proportion equation
209,912.26 : 289,674.60 = 114,418.12 : x - Step 2: Convert to fraction form
209,912.26/289,674.60 = 114,418.12/x - Step 3: Cross multiply
209,912.26x = 289,674.60 × 114,418.12 - Step 4: Simplify right side
209,912.26x = 33,144,023,143.75 - Step 5: Solve for x
x = 33,144,023,143.75/209,912.26 - Step 6: Final answer
x = 157,894.65
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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.