Finding the Fourth Proportional to 81,942,702,373.86, 113,018,318,829.99 and 70,530,384,221.97
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Solution
The fourth proportional to 81,942,702,373.86, 113,018,318,829.99 and 70,530,384,221.97 is: 97,278,039,657.91
Step by Step Solution
- Step 1: Write the proportion equation
81,942,702,373.86 : 113,018,318,829.99 = 70,530,384,221.97 : x - Step 2: Convert to fraction form
81,942,702,373.86/113,018,318,829.99 = 70,530,384,221.97/x - Step 3: Cross multiply
81,942,702,373.86x = 113,018,318,829.99 × 70,530,384,221.97 - Step 4: Simplify right side
81,942,702,373.86x = 7,971,225,451,200,302,284,800 - Step 5: Solve for x
x = 7,971,225,451,200,302,284,800/81,942,702,373.86 - Step 6: Final answer
x = 97,278,039,657.91
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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.