Finding the Fourth Proportional to 125,832,570,865.68, 173,690,330,299.64 and 100,158,944,450.80
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Solution
The fourth proportional to 125,832,570,865.68, 173,690,330,299.64 and 100,158,944,450.80 is: 138,252,282,572.31
Step by Step Solution
- Step 1: Write the proportion equation
125,832,570,865.68 : 173,690,330,299.64 = 100,158,944,450.80 : x - Step 2: Convert to fraction form
125,832,570,865.68/173,690,330,299.64 = 100,158,944,450.80/x - Step 3: Cross multiply
125,832,570,865.68x = 173,690,330,299.64 × 100,158,944,450.80 - Step 4: Simplify right side
125,832,570,865.68x = 17,396,640,144,122,749,911,040 - Step 5: Solve for x
x = 17,396,640,144,122,749,911,040/125,832,570,865.68 - Step 6: Final answer
x = 138,252,282,572.31
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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.