Finding the Fourth Proportional to 209,614.23, 289,267.20 and 114,120.09
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Solution
The fourth proportional to 209,614.23, 289,267.20 and 114,120.09 is: 157,485.49
Step by Step Solution
- Step 1: Write the proportion equation
209,614.23 : 289,267.20 = 114,120.09 : x - Step 2: Convert to fraction form
209,614.23/289,267.20 = 114,120.09/x - Step 3: Cross multiply
209,614.23x = 289,267.20 × 114,120.09 - Step 4: Simplify right side
209,614.23x = 33,011,198,898.05 - Step 5: Solve for x
x = 33,011,198,898.05/209,614.23 - Step 6: Final answer
x = 157,485.49
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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.