Finding the Fourth Proportional to 212,194,874,157.61, 292,827,410,226.87 and 115,850,957,471.42
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Solution
The fourth proportional to 212,194,874,157.61, 292,827,410,226.87 and 115,850,957,471.42 is: 159,873,493,567.34
Step by Step Solution
- Step 1: Write the proportion equation
212,194,874,157.61 : 292,827,410,226.87 = 115,850,957,471.42 : x - Step 2: Convert to fraction form
212,194,874,157.61/292,827,410,226.87 = 115,850,957,471.42/x - Step 3: Cross multiply
212,194,874,157.61x = 292,827,410,226.87 × 115,850,957,471.42 - Step 4: Simplify right side
212,194,874,157.61x = 33,924,335,848,659,171,147,776 - Step 5: Solve for x
x = 33,924,335,848,659,171,147,776/212,194,874,157.61 - Step 6: Final answer
x = 159,873,493,567.34
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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.