Finding the Fourth Proportional to 100,229,769,034.83, 138,320,717,985.67 and 57,418,525,998.99
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Solution
The fourth proportional to 100,229,769,034.83, 138,320,717,985.67 and 57,418,525,998.99 is: 79,239,649,241.33
Step by Step Solution
- Step 1: Write the proportion equation
100,229,769,034.83 : 138,320,717,985.67 = 57,418,525,998.99 : x - Step 2: Convert to fraction form
100,229,769,034.83/138,320,717,985.67 = 57,418,525,998.99/x - Step 3: Cross multiply
100,229,769,034.83x = 138,320,717,985.67 × 57,418,525,998.99 - Step 4: Simplify right side
100,229,769,034.83x = 7,942,171,741,859,433,414,656 - Step 5: Solve for x
x = 7,942,171,741,859,433,414,656/100,229,769,034.83 - Step 6: Final answer
x = 79,239,649,241.33
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1.5x scale
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.