Finding the Fourth Proportional to 180,428,704.96, 248,991,783.68 and 97,922,511.04
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Solution
The fourth proportional to 180,428,704.96, 248,991,783.68 and 97,922,511.04 is: 135,133,157.95
Step by Step Solution
- Step 1: Write the proportion equation
180,428,704.96 : 248,991,783.68 = 97,922,511.04 : x - Step 2: Convert to fraction form
180,428,704.96/248,991,783.68 = 97,922,511.04/x - Step 3: Cross multiply
180,428,704.96x = 248,991,783.68 × 97,922,511.04 - Step 4: Simplify right side
180,428,704.96x = 24,381,900,686,274,096 - Step 5: Solve for x
x = 24,381,900,686,274,096/180,428,704.96 - Step 6: Final answer
x = 135,133,157.95
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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.