Finding the Fourth Proportional to 213,146,990.21, 294,143,302.33 and 120,327,498.05
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Solution
The fourth proportional to 213,146,990.21, 294,143,302.33 and 120,327,498.05 is: 166,052,204.65
Step by Step Solution
- Step 1: Write the proportion equation
213,146,990.21 : 294,143,302.33 = 120,327,498.05 : x - Step 2: Convert to fraction form
213,146,990.21/294,143,302.33 = 120,327,498.05/x - Step 3: Cross multiply
213,146,990.21x = 294,143,302.33 × 120,327,498.05 - Step 4: Simplify right side
213,146,990.21x = 35,393,527,637,533,632 - Step 5: Solve for x
x = 35,393,527,637,533,632/213,146,990.21 - Step 6: Final answer
x = 166,052,204.65
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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.