Finding the Fourth Proportional to 198,871,219,405.98, 274,442,392,874.52 and 107,419,769,757.81
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Solution
The fourth proportional to 198,871,219,405.98, 274,442,392,874.52 and 107,419,769,757.81 is: 148,239,341,732.91
Step by Step Solution
- Step 1: Write the proportion equation
198,871,219,405.98 : 274,442,392,874.52 = 107,419,769,757.81 : x - Step 2: Convert to fraction form
198,871,219,405.98/274,442,392,874.52 = 107,419,769,757.81/x - Step 3: Cross multiply
198,871,219,405.98x = 274,442,392,874.52 × 107,419,769,757.81 - Step 4: Simplify right side
198,871,219,405.98x = 29,480,538,654,363,374,059,520 - Step 5: Solve for x
x = 29,480,538,654,363,374,059,520/198,871,219,405.98 - Step 6: Final answer
x = 148,239,341,732.91
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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.