Finding the Fourth Proportional to 206,117,522.12, 284,438,992.56 and 113,296,035.44
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Solution
The fourth proportional to 206,117,522.12, 284,438,992.56 and 113,296,035.44 is: 156,346,776.59
Step by Step Solution
- Step 1: Write the proportion equation
206,117,522.12 : 284,438,992.56 = 113,296,035.44 : x - Step 2: Convert to fraction form
206,117,522.12/284,438,992.56 = 113,296,035.44/x - Step 3: Cross multiply
206,117,522.12x = 284,438,992.56 × 113,296,035.44 - Step 4: Simplify right side
206,117,522.12x = 32,225,810,181,595,656 - Step 5: Solve for x
x = 32,225,810,181,595,656/206,117,522.12 - Step 6: Final answer
x = 156,346,776.59
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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.