Finding the Fourth Proportional to 99,738,881,159.76, 137,639,730,207.60 and 54,013,511,517.84
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Solution
The fourth proportional to 99,738,881,159.76, 137,639,730,207.60 and 54,013,511,517.84 is: 74,538,686,081.43
Step by Step Solution
- Step 1: Write the proportion equation
99,738,881,159.76 : 137,639,730,207.60 = 54,013,511,517.84 : x - Step 2: Convert to fraction form
99,738,881,159.76/137,639,730,207.60 = 54,013,511,517.84/x - Step 3: Cross multiply
99,738,881,159.76x = 137,639,730,207.60 × 54,013,511,517.84 - Step 4: Simplify right side
99,738,881,159.76x = 7,434,405,152,880,592,945,152 - Step 5: Solve for x
x = 7,434,405,152,880,592,945,152/99,738,881,159.76 - Step 6: Final answer
x = 74,538,686,081.43
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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.