Finding the Fourth Proportional to 125,832,570,861.68, 173,690,330,294.12 and 100,158,944,446.80
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Solution
The fourth proportional to 125,832,570,861.68, 173,690,330,294.12 and 100,158,944,446.80 is: 138,252,282,566.79
Step by Step Solution
- Step 1: Write the proportion equation
125,832,570,861.68 : 173,690,330,294.12 = 100,158,944,446.80 : x - Step 2: Convert to fraction form
125,832,570,861.68/173,690,330,294.12 = 100,158,944,446.80/x - Step 3: Cross multiply
125,832,570,861.68x = 173,690,330,294.12 × 100,158,944,446.80 - Step 4: Simplify right side
125,832,570,861.68x = 17,396,640,142,875,108,048,896 - Step 5: Solve for x
x = 17,396,640,142,875,108,048,896/125,832,570,861.68 - Step 6: Final answer
x = 138,252,282,566.79
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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.