Finding the Fourth Proportional to 198,871,274,539.54, 274,442,468,768.84 and 107,419,824,822.12
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Solution
The fourth proportional to 198,871,274,539.54, 274,442,468,768.84 and 107,419,824,822.12 is: 148,239,417,619.05
Step by Step Solution
- Step 1: Write the proportion equation
198,871,274,539.54 : 274,442,468,768.84 = 107,419,824,822.12 : x - Step 2: Convert to fraction form
198,871,274,539.54/274,442,468,768.84 = 107,419,824,822.12/x - Step 3: Cross multiply
198,871,274,539.54x = 274,442,468,768.84 × 107,419,824,822.12 - Step 4: Simplify right side
198,871,274,539.54x = 29,480,561,918,898,931,236,864 - Step 5: Solve for x
x = 29,480,561,918,898,931,236,864/198,871,274,539.54 - Step 6: Final answer
x = 148,239,417,619.05
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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.