Finding the Fourth Proportional to 281,871.31, 422,761.96 and 82,144.99
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Solution
The fourth proportional to 281,871.31, 422,761.96 and 82,144.99 is: 123,204.37
Step by Step Solution
- Step 1: Write the proportion equation
281,871.31 : 422,761.96 = 82,144.99 : x - Step 2: Convert to fraction form
281,871.31/422,761.96 = 82,144.99/x - Step 3: Cross multiply
281,871.31x = 422,761.96 × 82,144.99 - Step 4: Simplify right side
281,871.31x = 34,727,776,976.58 - Step 5: Solve for x
x = 34,727,776,976.58/281,871.31 - Step 6: Final answer
x = 123,204.37
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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.