Finding the Fourth Proportional to 120,602.74, 180,912.82 and 31,855.09
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Solution
The fourth proportional to 120,602.74, 180,912.82 and 31,855.09 is: 47,784.94
Step by Step Solution
- Step 1: Write the proportion equation
120,602.74 : 180,912.82 = 31,855.09 : x - Step 2: Convert to fraction form
120,602.74/180,912.82 = 31,855.09/x - Step 3: Cross multiply
120,602.74x = 180,912.82 × 31,855.09 - Step 4: Simplify right side
120,602.74x = 5,762,994,163.25 - Step 5: Solve for x
x = 5,762,994,163.25/120,602.74 - Step 6: Final answer
x = 47,784.94
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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.