Finding the Fourth Proportional to 142,205.76, 196,239.92 and 78,542.19
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Solution
The fourth proportional to 142,205.76, 196,239.92 and 78,542.19 is: 108,385.99
Step by Step Solution
- Step 1: Write the proportion equation
142,205.76 : 196,239.92 = 78,542.19 : x - Step 2: Convert to fraction form
142,205.76/196,239.92 = 78,542.19/x - Step 3: Cross multiply
142,205.76x = 196,239.92 × 78,542.19 - Step 4: Simplify right side
142,205.76x = 15,413,112,689.51 - Step 5: Solve for x
x = 15,413,112,689.51/142,205.76 - Step 6: Final answer
x = 108,385.99
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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.