Finding the Fourth Proportional to 122,218,197.14, 169,105,243.41 and 106,569,852.32
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Solution
The fourth proportional to 122,218,197.14, 169,105,243.41 and 106,569,852.32 is: 147,453,662.70
Step by Step Solution
- Step 1: Write the proportion equation
122,218,197.14 : 169,105,243.41 = 106,569,852.32 : x - Step 2: Convert to fraction form
122,218,197.14/169,105,243.41 = 106,569,852.32/x - Step 3: Cross multiply
122,218,197.14x = 169,105,243.41 × 106,569,852.32 - Step 4: Simplify right side
122,218,197.14x = 18,021,520,815,895,828 - Step 5: Solve for x
x = 18,021,520,815,895,828/122,218,197.14 - Step 6: Final answer
x = 147,453,662.70
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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.