Finding the Fourth Proportional to 217,900,669,202.94, 300,702,088,570.84 and 121,556,678,935.14
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Solution
The fourth proportional to 217,900,669,202.94, 300,702,088,570.84 and 121,556,678,935.14 is: 167,747,751,162.20
Step by Step Solution
- Step 1: Write the proportion equation
217,900,669,202.94 : 300,702,088,570.84 = 121,556,678,935.14 : x - Step 2: Convert to fraction form
217,900,669,202.94/300,702,088,570.84 = 121,556,678,935.14/x - Step 3: Cross multiply
217,900,669,202.94x = 300,702,088,570.84 × 121,556,678,935.14 - Step 4: Simplify right side
217,900,669,202.94x = 36,552,347,235,531,632,934,912 - Step 5: Solve for x
x = 36,552,347,235,531,632,934,912/217,900,669,202.94 - Step 6: Final answer
x = 167,747,751,162.20
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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.