Finding the Fourth Proportional to 209,409.35, 288,976.51 and 113,914.00
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Solution
The fourth proportional to 209,409.35, 288,976.51 and 113,914.00 is: 157,196.75
Step by Step Solution
- Step 1: Write the proportion equation
209,409.35 : 288,976.51 = 113,914.00 : x - Step 2: Convert to fraction form
209,409.35/288,976.51 = 113,914.00/x - Step 3: Cross multiply
209,409.35x = 288,976.51 × 113,914.00 - Step 4: Simplify right side
209,409.35x = 32,918,469,038.26 - Step 5: Solve for x
x = 32,918,469,038.26/209,409.35 - Step 6: Final answer
x = 157,196.75
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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.