Finding the Fourth Proportional to 198,380,313,568.74, 273,756,947,415.72 and 117,116,314,027.14
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Solution
The fourth proportional to 198,380,313,568.74, 273,756,947,415.72 and 117,116,314,027.14 is: 161,615,858,165.99
Step by Step Solution
- Step 1: Write the proportion equation
198,380,313,568.74 : 273,756,947,415.72 = 117,116,314,027.14 : x - Step 2: Convert to fraction form
198,380,313,568.74/273,756,947,415.72 = 117,116,314,027.14/x - Step 3: Cross multiply
198,380,313,568.74x = 273,756,947,415.72 × 117,116,314,027.14 - Step 4: Simplify right side
198,380,313,568.74x = 32,061,404,620,650,715,283,456 - Step 5: Solve for x
x = 32,061,404,620,650,715,283,456/198,380,313,568.74 - Step 6: Final answer
x = 161,615,858,165.99
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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.