Finding the Fourth Proportional to 206,133.49, 284,475.91 and 115,518.67
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Solution
The fourth proportional to 206,133.49, 284,475.91 and 115,518.67 is: 159,422.32
Step by Step Solution
- Step 1: Write the proportion equation
206,133.49 : 284,475.91 = 115,518.67 : x - Step 2: Convert to fraction form
206,133.49/284,475.91 = 115,518.67/x - Step 3: Cross multiply
206,133.49x = 284,475.91 × 115,518.67 - Step 4: Simplify right side
206,133.49x = 32,862,278,770.24 - Step 5: Solve for x
x = 32,862,278,770.24/206,133.49 - Step 6: Final answer
x = 159,422.32
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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.