Finding the Fourth Proportional to 206,383.44, 284,812.16 and 120,340.08
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Solution
The fourth proportional to 206,383.44, 284,812.16 and 120,340.08 is: 166,071.07
Step by Step Solution
- Step 1: Write the proportion equation
206,383.44 : 284,812.16 = 120,340.08 : x - Step 2: Convert to fraction form
206,383.44/284,812.16 = 120,340.08/x - Step 3: Cross multiply
206,383.44x = 284,812.16 × 120,340.08 - Step 4: Simplify right side
206,383.44x = 34,274,318,119.37 - Step 5: Solve for x
x = 34,274,318,119.37/206,383.44 - Step 6: Final answer
x = 166,071.07
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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.