Finding the Fourth Proportional to 212,083,519,087.56, 292,675,179,034.62 and 115,739,605,780.68
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Solution
The fourth proportional to 212,083,519,087.56, 292,675,179,034.62 and 115,739,605,780.68 is: 159,720,613,789.29
Step by Step Solution
- Step 1: Write the proportion equation
212,083,519,087.56 : 292,675,179,034.62 = 115,739,605,780.68 : x - Step 2: Convert to fraction form
212,083,519,087.56/292,675,179,034.62 = 115,739,605,780.68/x - Step 3: Cross multiply
212,083,519,087.56x = 292,675,179,034.62 × 115,739,605,780.68 - Step 4: Simplify right side
212,083,519,087.56x = 33,874,109,843,256,857,591,808 - Step 5: Solve for x
x = 33,874,109,843,256,857,591,808/212,083,519,087.56 - Step 6: Final answer
x = 159,720,613,789.29
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1.5x scale
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.