Finding the Fourth Proportional to 142,193.07, 196,224.80 and 77,661.99
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Solution
The fourth proportional to 142,193.07, 196,224.80 and 77,661.99 is: 107,172.65
Step by Step Solution
- Step 1: Write the proportion equation
142,193.07 : 196,224.80 = 77,661.99 : x - Step 2: Convert to fraction form
142,193.07/196,224.80 = 77,661.99/x - Step 3: Cross multiply
142,193.07x = 196,224.80 × 77,661.99 - Step 4: Simplify right side
142,193.07x = 15,239,208,067.04 - Step 5: Solve for x
x = 15,239,208,067.04/142,193.07 - Step 6: Final answer
x = 107,172.65
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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.