Finding the Fourth Proportional to 203,942,891,972.94, 281,442,065,900.18 and 111,245,766,553.99
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Solution
The fourth proportional to 203,942,891,972.94, 281,442,065,900.18 and 111,245,766,553.99 is: 153,519,635,122.95
Step by Step Solution
- Step 1: Write the proportion equation
203,942,891,972.94 : 281,442,065,900.18 = 111,245,766,553.99 : x - Step 2: Convert to fraction form
203,942,891,972.94/281,442,065,900.18 = 111,245,766,553.99/x - Step 3: Cross multiply
203,942,891,972.94x = 281,442,065,900.18 × 111,245,766,553.99 - Step 4: Simplify right side
203,942,891,972.94x = 31,309,238,361,604,094,951,424 - Step 5: Solve for x
x = 31,309,238,361,604,094,951,424/203,942,891,972.94 - Step 6: Final answer
x = 153,519,635,122.95
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.