Finding the Fourth Proportional to 209,471.91, 313,961.75 and 96,914.31
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Solution
The fourth proportional to 209,471.91, 313,961.75 and 96,914.31 is: 145,257.60
Step by Step Solution
- Step 1: Write the proportion equation
209,471.91 : 313,961.75 = 96,914.31 : x - Step 2: Convert to fraction form
209,471.91/313,961.75 = 96,914.31/x - Step 3: Cross multiply
209,471.91x = 313,961.75 × 96,914.31 - Step 4: Simplify right side
209,471.91x = 30,427,385,883.07 - Step 5: Solve for x
x = 30,427,385,883.07/209,471.91 - Step 6: Final answer
x = 145,257.60
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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.