Finding the Fourth Proportional to 149,294.75, 206,026.76 and 82,226.75
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Solution
The fourth proportional to 149,294.75, 206,026.76 and 82,226.75 is: 113,472.92
Step by Step Solution
- Step 1: Write the proportion equation
149,294.75 : 206,026.76 = 82,226.75 : x - Step 2: Convert to fraction form
149,294.75/206,026.76 = 82,226.75/x - Step 3: Cross multiply
149,294.75x = 206,026.76 × 82,226.75 - Step 4: Simplify right side
149,294.75x = 16,940,910,476.70 - Step 5: Solve for x
x = 16,940,910,476.70/149,294.75 - Step 6: Final answer
x = 113,472.92
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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.