Finding the Fourth Proportional to 77,805.69, 116,723.84 and 27,872.34
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Solution
The fourth proportional to 77,805.69, 116,723.84 and 27,872.34 is: 41,813.99
Step by Step Solution
- Step 1: Write the proportion equation
77,805.69 : 116,723.84 = 27,872.34 : x - Step 2: Convert to fraction form
77,805.69/116,723.84 = 27,872.34/x - Step 3: Cross multiply
77,805.69x = 116,723.84 × 27,872.34 - Step 4: Simplify right side
77,805.69x = 3,253,366,415.22 - Step 5: Solve for x
x = 3,253,366,415.22/77,805.69 - Step 6: Final answer
x = 41,813.99
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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.