Finding the Fourth Proportional to 75,906.29, 113,859.82 and 31,533.09
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Solution
The fourth proportional to 75,906.29, 113,859.82 and 31,533.09 is: 47,299.79
Step by Step Solution
- Step 1: Write the proportion equation
75,906.29 : 113,859.82 = 31,533.09 : x - Step 2: Convert to fraction form
75,906.29/113,859.82 = 31,533.09/x - Step 3: Cross multiply
75,906.29x = 113,859.82 × 31,533.09 - Step 4: Simplify right side
75,906.29x = 3,590,351,951.44 - Step 5: Solve for x
x = 3,590,351,951.44/75,906.29 - Step 6: Final answer
x = 47,299.79
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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.