Finding the Fourth Proportional to 160,425,929,416.42, 221,393,091,936.86 and 88,170,555,391.08
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Solution
The fourth proportional to 160,425,929,416.42, 221,393,091,936.86 and 88,170,555,391.08 is: 121,678,284,469.54
Step by Step Solution
- Step 1: Write the proportion equation
160,425,929,416.42 : 221,393,091,936.86 = 88,170,555,391.08 : x - Step 2: Convert to fraction form
160,425,929,416.42/221,393,091,936.86 = 88,170,555,391.08/x - Step 3: Cross multiply
160,425,929,416.42x = 221,393,091,936.86 × 88,170,555,391.08 - Step 4: Simplify right side
160,425,929,416.42x = 19,520,351,875,821,381,615,616 - Step 5: Solve for x
x = 19,520,351,875,821,381,615,616/160,425,929,416.42 - Step 6: Final answer
x = 121,678,284,469.54
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1.5x scale
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.