Finding the Fourth Proportional to 342,124,193,592.87, 513,205,901,874.60 and 90,578,851,272.31
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Solution
The fourth proportional to 342,124,193,592.87, 513,205,901,874.60 and 90,578,851,272.31 is: 135,873,469,133.52
Step by Step Solution
- Step 1: Write the proportion equation
342,124,193,592.87 : 513,205,901,874.60 = 90,578,851,272.31 : x - Step 2: Convert to fraction form
342,124,193,592.87/513,205,901,874.60 = 90,578,851,272.31/x - Step 3: Cross multiply
342,124,193,592.87x = 513,205,901,874.60 × 90,578,851,272.31 - Step 4: Simplify right side
342,124,193,592.87x = 46,485,601,057,972,139,589,632 - Step 5: Solve for x
x = 46,485,601,057,972,139,589,632/342,124,193,592.87 - Step 6: Final answer
x = 135,873,469,133.52
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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.