Finding the Fourth Proportional to 138,364,883,971.92, 190,938,422,576.52 and 74,998,750,170.96
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Solution
The fourth proportional to 138,364,883,971.92, 190,938,422,576.52 and 74,998,750,170.96 is: 103,495,501,472.47
Step by Step Solution
- Step 1: Write the proportion equation
138,364,883,971.92 : 190,938,422,576.52 = 74,998,750,170.96 : x - Step 2: Convert to fraction form
138,364,883,971.92/190,938,422,576.52 = 74,998,750,170.96/x - Step 3: Cross multiply
138,364,883,971.92x = 190,938,422,576.52 × 74,998,750,170.96 - Step 4: Simplify right side
138,364,883,971.92x = 14,320,143,052,853,611,593,728 - Step 5: Solve for x
x = 14,320,143,052,853,611,593,728/138,364,883,971.92 - Step 6: Final answer
x = 103,495,501,472.47
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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.