Finding the Fourth Proportional to 205,922.97, 284,178.51 and 115,276.68
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Solution
The fourth proportional to 205,922.97, 284,178.51 and 115,276.68 is: 159,084.51
Step by Step Solution
- Step 1: Write the proportion equation
205,922.97 : 284,178.51 = 115,276.68 : x - Step 2: Convert to fraction form
205,922.97/284,178.51 = 115,276.68/x - Step 3: Cross multiply
205,922.97x = 284,178.51 × 115,276.68 - Step 4: Simplify right side
205,922.97x = 32,759,155,160.15 - Step 5: Solve for x
x = 32,759,155,160.15/205,922.97 - Step 6: Final answer
x = 159,084.51
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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.