Finding the Fourth Proportional to 76,219.43, 114,329.19 and 31,821.98
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Solution
The fourth proportional to 76,219.43, 114,329.19 and 31,821.98 is: 47,732.99
Step by Step Solution
- Step 1: Write the proportion equation
76,219.43 : 114,329.19 = 31,821.98 : x - Step 2: Convert to fraction form
76,219.43/114,329.19 = 31,821.98/x - Step 3: Cross multiply
76,219.43x = 114,329.19 × 31,821.98 - Step 4: Simplify right side
76,219.43x = 3,638,181,197.60 - Step 5: Solve for x
x = 3,638,181,197.60/76,219.43 - Step 6: Final answer
x = 47,732.99
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1.5x scale
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.