Finding the Fourth Proportional to 151,769.09, 209,435.84 and 83,784.60
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Solution
The fourth proportional to 151,769.09, 209,435.84 and 83,784.60 is: 115,619.70
Step by Step Solution
- Step 1: Write the proportion equation
151,769.09 : 209,435.84 = 83,784.60 : x - Step 2: Convert to fraction form
151,769.09/209,435.84 = 83,784.60/x - Step 3: Cross multiply
151,769.09x = 209,435.84 × 83,784.60 - Step 4: Simplify right side
151,769.09x = 17,547,497,661.14 - Step 5: Solve for x
x = 17,547,497,661.14/151,769.09 - Step 6: Final answer
x = 115,619.70
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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.