Finding the Fourth Proportional to 206,129.40, 309,194.10 and 159,415.80
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Solution
The fourth proportional to 206,129.40, 309,194.10 and 159,415.80 is: 239,123.70
Step by Step Solution
- Step 1: Write the proportion equation
206,129.40 : 309,194.10 = 159,415.80 : x - Step 2: Convert to fraction form
206,129.40/309,194.10 = 159,415.80/x - Step 3: Cross multiply
206,129.40x = 309,194.10 × 159,415.80 - Step 4: Simplify right side
206,129.40x = 49,290,424,806.78 - Step 5: Solve for x
x = 49,290,424,806.78/206,129.40 - Step 6: Final answer
x = 239,123.70
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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.