Finding the Fourth Proportional to 196,165,321.74, 270,729,405.99 and 108,068,347.14
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Solution
The fourth proportional to 196,165,321.74, 270,729,405.99 and 108,068,347.14 is: 149,146,032.38
Step by Step Solution
- Step 1: Write the proportion equation
196,165,321.74 : 270,729,405.99 = 108,068,347.14 : x - Step 2: Convert to fraction form
196,165,321.74/270,729,405.99 = 108,068,347.14/x - Step 3: Cross multiply
196,165,321.74x = 270,729,405.99 × 108,068,347.14 - Step 4: Simplify right side
196,165,321.74x = 29,257,279,427,533,316 - Step 5: Solve for x
x = 29,257,279,427,533,316/196,165,321.74 - Step 6: Final answer
x = 149,146,032.38
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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.