Finding the Fourth Proportional to 198,968,633,092.71, 298,149,253,022.28 and 118,135,158,984.99
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Solution
The fourth proportional to 198,968,633,092.71, 298,149,253,022.28 and 118,135,158,984.99 is: 177,022,422,376.65
Step by Step Solution
- Step 1: Write the proportion equation
198,968,633,092.71 : 298,149,253,022.28 = 118,135,158,984.99 : x - Step 2: Convert to fraction form
198,968,633,092.71/298,149,253,022.28 = 118,135,158,984.99/x - Step 3: Cross multiply
198,968,633,092.71x = 298,149,253,022.28 × 118,135,158,984.99 - Step 4: Simplify right side
198,968,633,092.71x = 35,221,909,407,043,063,644,160 - Step 5: Solve for x
x = 35,221,909,407,043,063,644,160/198,968,633,092.71 - Step 6: Final answer
x = 177,022,422,376.65
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.