Finding the Fourth Proportional to 178,220,137,192.87, 267,440,163,815.67 and 82,588,330,843.12
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Solution
The fourth proportional to 178,220,137,192.87, 267,440,163,815.67 and 82,588,330,843.12 is: 123,933,451,504.66
Step by Step Solution
- Step 1: Write the proportion equation
178,220,137,192.87 : 267,440,163,815.67 = 82,588,330,843.12 : x - Step 2: Convert to fraction form
178,220,137,192.87/267,440,163,815.67 = 82,588,330,843.12/x - Step 3: Cross multiply
178,220,137,192.87x = 267,440,163,815.67 × 82,588,330,843.12 - Step 4: Simplify right side
178,220,137,192.87x = 22,087,436,729,946,761,854,976 - Step 5: Solve for x
x = 22,087,436,729,946,761,854,976/178,220,137,192.87 - Step 6: Final answer
x = 123,933,451,504.66
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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.