Finding the Fourth Proportional to 205,825.64, 284,054.64 and 115,190.68
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Solution
The fourth proportional to 205,825.64, 284,054.64 and 115,190.68 is: 158,971.68
Step by Step Solution
- Step 1: Write the proportion equation
205,825.64 : 284,054.64 = 115,190.68 : x - Step 2: Convert to fraction form
205,825.64/284,054.64 = 115,190.68/x - Step 3: Cross multiply
205,825.64x = 284,054.64 × 115,190.68 - Step 4: Simplify right side
205,825.64x = 32,720,447,138.76 - Step 5: Solve for x
x = 32,720,447,138.76/205,825.64 - Step 6: Final answer
x = 158,971.68
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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.