Finding the Fourth Proportional to 76,033.68, 113,768 and 47,821.96
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Solution
The fourth proportional to 76,033.68, 113,768 and 47,821.96 is: 71,555.25
Step by Step Solution
- Step 1: Write the proportion equation
76,033.68 : 113,768 = 47,821.96 : x - Step 2: Convert to fraction form
76,033.68/113,768 = 47,821.96/x - Step 3: Cross multiply
76,033.68x = 113,768 × 47,821.96 - Step 4: Simplify right side
76,033.68x = 5,440,608,745.28 - Step 5: Solve for x
x = 5,440,608,745.28/76,033.68 - Step 6: Final answer
x = 71,555.25
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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.