Finding the Fourth Proportional to 75,512.73, 113,282.75 and 31,114.78
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Solution
The fourth proportional to 75,512.73, 113,282.75 and 31,114.78 is: 46,677.80
Step by Step Solution
- Step 1: Write the proportion equation
75,512.73 : 113,282.75 = 31,114.78 : x - Step 2: Convert to fraction form
75,512.73/113,282.75 = 31,114.78/x - Step 3: Cross multiply
75,512.73x = 113,282.75 × 31,114.78 - Step 4: Simplify right side
75,512.73x = 3,524,767,844.05 - Step 5: Solve for x
x = 3,524,767,844.05/75,512.73 - Step 6: Final answer
x = 46,677.80
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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.