Finding the Fourth Proportional to 75,971.08, 113,921.97 and 31,571.38
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Solution
The fourth proportional to 75,971.08, 113,921.97 and 31,571.38 is: 47,342.67
Step by Step Solution
- Step 1: Write the proportion equation
75,971.08 : 113,921.97 = 31,571.38 : x - Step 2: Convert to fraction form
75,971.08/113,921.97 = 31,571.38/x - Step 3: Cross multiply
75,971.08x = 113,921.97 × 31,571.38 - Step 4: Simplify right side
75,971.08x = 3,596,673,805.22 - Step 5: Solve for x
x = 3,596,673,805.22/75,971.08 - Step 6: Final answer
x = 47,342.67
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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.