Finding the Fourth Proportional to 179,431,416,478.71, 247,561,597,844.78 and 103,305,873,193.47
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Solution
The fourth proportional to 179,431,416,478.71, 247,561,597,844.78 and 103,305,873,193.47 is: 142,531,155,002.95
Step by Step Solution
- Step 1: Write the proportion equation
179,431,416,478.71 : 247,561,597,844.78 = 103,305,873,193.47 : x - Step 2: Convert to fraction form
179,431,416,478.71/247,561,597,844.78 = 103,305,873,193.47/x - Step 3: Cross multiply
179,431,416,478.71x = 247,561,597,844.78 × 103,305,873,193.47 - Step 4: Simplify right side
179,431,416,478.71x = 25,574,567,034,525,656,809,472 - Step 5: Solve for x
x = 25,574,567,034,525,656,809,472/179,431,416,478.71 - Step 6: Final answer
x = 142,531,155,002.95
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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.