Finding the Fourth Proportional to 209,198.09, 288,695.12 and 113,704.76
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Solution
The fourth proportional to 209,198.09, 288,695.12 and 113,704.76 is: 156,913.52
Step by Step Solution
- Step 1: Write the proportion equation
209,198.09 : 288,695.12 = 113,704.76 : x - Step 2: Convert to fraction form
209,198.09/288,695.12 = 113,704.76/x - Step 3: Cross multiply
209,198.09x = 288,695.12 × 113,704.76 - Step 4: Simplify right side
209,198.09x = 32,826,007,320.77 - Step 5: Solve for x
x = 32,826,007,320.77/209,198.09 - Step 6: Final answer
x = 156,913.52
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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.