Finding the Fourth Proportional to 108,530,687,655.09, 149,668,407,231.71 and 71,850,739,671.09
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Solution
The fourth proportional to 108,530,687,655.09, 149,668,407,231.71 and 71,850,739,671.09 is: 99,085,208,039.66
Step by Step Solution
- Step 1: Write the proportion equation
108,530,687,655.09 : 149,668,407,231.71 = 71,850,739,671.09 : x - Step 2: Convert to fraction form
108,530,687,655.09/149,668,407,231.71 = 71,850,739,671.09/x - Step 3: Cross multiply
108,530,687,655.09x = 149,668,407,231.71 × 71,850,739,671.09 - Step 4: Simplify right side
108,530,687,655.09x = 10,753,785,764,992,277,020,672 - Step 5: Solve for x
x = 10,753,785,764,992,277,020,672/108,530,687,655.09 - Step 6: Final answer
x = 99,085,208,039.66
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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.