Finding the Fourth Proportional to 190,245,578,389.12, 285,179,871,770.46 and 89,335,807,506.99
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Solution
The fourth proportional to 190,245,578,389.12, 285,179,871,770.46 and 89,335,807,506.99 is: 133,915,197,110.37
Step by Step Solution
- Step 1: Write the proportion equation
190,245,578,389.12 : 285,179,871,770.46 = 89,335,807,506.99 : x - Step 2: Convert to fraction form
190,245,578,389.12/285,179,871,770.46 = 89,335,807,506.99/x - Step 3: Cross multiply
190,245,578,389.12x = 285,179,871,770.46 × 89,335,807,506.99 - Step 4: Simplify right side
190,245,578,389.12x = 25,476,774,129,354,479,239,168 - Step 5: Solve for x
x = 25,476,774,129,354,479,239,168/190,245,578,389.12 - Step 6: Final answer
x = 133,915,197,110.37
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1.5x scale
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.