Finding the Fourth Proportional to 198,214,241.22, 297,015,783.26 and 106,110,201.51
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Solution
The fourth proportional to 198,214,241.22, 297,015,783.26 and 106,110,201.51 is: 159,001,716.62
Step by Step Solution
- Step 1: Write the proportion equation
198,214,241.22 : 297,015,783.26 = 106,110,201.51 : x - Step 2: Convert to fraction form
198,214,241.22/297,015,783.26 = 106,110,201.51/x - Step 3: Cross multiply
198,214,241.22x = 297,015,783.26 × 106,110,201.51 - Step 4: Simplify right side
198,214,241.22x = 31,516,404,612,838,536 - Step 5: Solve for x
x = 31,516,404,612,838,536/198,214,241.22 - Step 6: Final answer
x = 159,001,716.62
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.