Finding the Fourth Proportional to 117,101,752,797.67, 161,540,945,007.96 and 76,480,442,120.99
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Solution
The fourth proportional to 117,101,752,797.67, 161,540,945,007.96 and 76,480,442,120.99 is: 105,504,167,099.85
Step by Step Solution
- Step 1: Write the proportion equation
117,101,752,797.67 : 161,540,945,007.96 = 76,480,442,120.99 : x - Step 2: Convert to fraction form
117,101,752,797.67/161,540,945,007.96 = 76,480,442,120.99/x - Step 3: Cross multiply
117,101,752,797.67x = 161,540,945,007.96 × 76,480,442,120.99 - Step 4: Simplify right side
117,101,752,797.67x = 12,354,722,894,850,505,572,352 - Step 5: Solve for x
x = 12,354,722,894,850,505,572,352/117,101,752,797.67 - Step 6: Final answer
x = 105,504,167,099.85
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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.