Finding the Fourth Proportional to 209,217.31, 313,808.16 and 82,823.19
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Solution
The fourth proportional to 209,217.31, 313,808.16 and 82,823.19 is: 124,227.74
Step by Step Solution
- Step 1: Write the proportion equation
209,217.31 : 313,808.16 = 82,823.19 : x - Step 2: Convert to fraction form
209,217.31/313,808.16 = 82,823.19/x - Step 3: Cross multiply
209,217.31x = 313,808.16 × 82,823.19 - Step 4: Simplify right side
209,217.31x = 25,990,592,859.23 - Step 5: Solve for x
x = 25,990,592,859.23/209,217.31 - Step 6: Final answer
x = 124,227.74
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.