Finding the Fourth Proportional to 209,589.42, 289,233.45 and 114,096.09
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Solution
The fourth proportional to 209,589.42, 289,233.45 and 114,096.09 is: 157,452.63
Step by Step Solution
- Step 1: Write the proportion equation
209,589.42 : 289,233.45 = 114,096.09 : x - Step 2: Convert to fraction form
209,589.42/289,233.45 = 114,096.09/x - Step 3: Cross multiply
209,589.42x = 289,233.45 × 114,096.09 - Step 4: Simplify right side
209,589.42x = 33,000,406,826.84 - Step 5: Solve for x
x = 33,000,406,826.84/209,589.42 - Step 6: Final answer
x = 157,452.63
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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.