Finding the Fourth Proportional to 191,305,491,842.99, 264,001,568,646.82 and 103,313,716,343.80
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Solution
The fourth proportional to 191,305,491,842.99, 264,001,568,646.82 and 103,313,716,343.80 is: 142,572,923,101.87
Step by Step Solution
- Step 1: Write the proportion equation
191,305,491,842.99 : 264,001,568,646.82 = 103,313,716,343.80 : x - Step 2: Convert to fraction form
191,305,491,842.99/264,001,568,646.82 = 103,313,716,343.80/x - Step 3: Cross multiply
191,305,491,842.99x = 264,001,568,646.82 × 103,313,716,343.80 - Step 4: Simplify right side
191,305,491,842.99x = 27,274,983,177,495,804,641,280 - Step 5: Solve for x
x = 27,274,983,177,495,804,641,280/191,305,491,842.99 - Step 6: Final answer
x = 142,572,923,101.87
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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.