Finding the Fourth Proportional to 204,082.74, 305,912.70 and 147,782.07
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Solution
The fourth proportional to 204,082.74, 305,912.70 and 147,782.07 is: 221,520.02
Step by Step Solution
- Step 1: Write the proportion equation
204,082.74 : 305,912.70 = 147,782.07 : x - Step 2: Convert to fraction form
204,082.74/305,912.70 = 147,782.07/x - Step 3: Cross multiply
204,082.74x = 305,912.70 × 147,782.07 - Step 4: Simplify right side
204,082.74x = 45,208,412,045.29 - Step 5: Solve for x
x = 45,208,412,045.29/204,082.74 - Step 6: Final answer
x = 221,520.02
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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.