Finding the Fourth Proportional to 206,415.18, 284,856.21 and 115,791.30
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Solution
The fourth proportional to 206,415.18, 284,856.21 and 115,791.30 is: 159,793.82
Step by Step Solution
- Step 1: Write the proportion equation
206,415.18 : 284,856.21 = 115,791.30 : x - Step 2: Convert to fraction form
206,415.18/284,856.21 = 115,791.30/x - Step 3: Cross multiply
206,415.18x = 284,856.21 × 115,791.30 - Step 4: Simplify right side
206,415.18x = 32,983,870,868.97 - Step 5: Solve for x
x = 32,983,870,868.97/206,415.18 - Step 6: Final answer
x = 159,793.82
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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.