Finding the Fourth Proportional to 107,142.75, 160,745.49 and 47,965.23
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Solution
The fourth proportional to 107,142.75, 160,745.49 and 47,965.23 is: 71,961.89
Step by Step Solution
- Step 1: Write the proportion equation
107,142.75 : 160,745.49 = 47,965.23 : x - Step 2: Convert to fraction form
107,142.75/160,745.49 = 47,965.23/x - Step 3: Cross multiply
107,142.75x = 160,745.49 × 47,965.23 - Step 4: Simplify right side
107,142.75x = 7,710,194,399.31 - Step 5: Solve for x
x = 7,710,194,399.31/107,142.75 - Step 6: Final answer
x = 71,961.89
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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.