Finding the Fourth Proportional to 106,540,823.80, 159,811,235.70 and 49,145,195.80
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Solution
The fourth proportional to 106,540,823.80, 159,811,235.70 and 49,145,195.80 is: 73,717,793.70
Step by Step Solution
- Step 1: Write the proportion equation
106,540,823.80 : 159,811,235.70 = 49,145,195.80 : x - Step 2: Convert to fraction form
106,540,823.80/159,811,235.70 = 49,145,195.80/x - Step 3: Cross multiply
106,540,823.80x = 159,811,235.70 × 49,145,195.80 - Step 4: Simplify right side
106,540,823.80x = 7,853,954,469,516,449 - Step 5: Solve for x
x = 7,853,954,469,516,449/106,540,823.80 - Step 6: Final answer
x = 73,717,793.70
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.