Finding the Fourth Proportional to 81,096.35, 121,647.84 and 27,824.96
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Solution
The fourth proportional to 81,096.35, 121,647.84 and 27,824.96 is: 41,738.58
Step by Step Solution
- Step 1: Write the proportion equation
81,096.35 : 121,647.84 = 27,824.96 : x - Step 2: Convert to fraction form
81,096.35/121,647.84 = 27,824.96/x - Step 3: Cross multiply
81,096.35x = 121,647.84 × 27,824.96 - Step 4: Simplify right side
81,096.35x = 3,384,846,142.96 - Step 5: Solve for x
x = 3,384,846,142.96/81,096.35 - Step 6: Final answer
x = 41,738.58
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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.