Finding the Fourth Proportional to 75,847.06, 113,721.99 and 31,504.42
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Solution
The fourth proportional to 75,847.06, 113,721.99 and 31,504.42 is: 47,236.44
Step by Step Solution
- Step 1: Write the proportion equation
75,847.06 : 113,721.99 = 31,504.42 : x - Step 2: Convert to fraction form
75,847.06/113,721.99 = 31,504.42/x - Step 3: Cross multiply
75,847.06x = 113,721.99 × 31,504.42 - Step 4: Simplify right side
75,847.06x = 3,582,745,336.20 - Step 5: Solve for x
x = 3,582,745,336.20/75,847.06 - Step 6: Final answer
x = 47,236.44
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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.