Finding the Fourth Proportional to 50,842, 70,161.96 and 30,970
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Solution
The fourth proportional to 50,842, 70,161.96 and 30,970 is: 42,738.60
Step by Step Solution
- Step 1: Write the proportion equation
50,842 : 70,161.96 = 30,970 : x - Step 2: Convert to fraction form
50,842/70,161.96 = 30,970/x - Step 3: Cross multiply
50,842x = 70,161.96 × 30,970 - Step 4: Simplify right side
50,842x = 2,172,915,901.20 - Step 5: Solve for x
x = 2,172,915,901.20/50,842 - Step 6: Final answer
x = 42,738.60
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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.