Finding the Fourth Proportional to 122,983.68, 169,360.14 and 106,843.62
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Solution
The fourth proportional to 122,983.68, 169,360.14 and 106,843.62 is: 147,133.75
Step by Step Solution
- Step 1: Write the proportion equation
122,983.68 : 169,360.14 = 106,843.62 : x - Step 2: Convert to fraction form
122,983.68/169,360.14 = 106,843.62/x - Step 3: Cross multiply
122,983.68x = 169,360.14 × 106,843.62 - Step 4: Simplify right side
122,983.68x = 18,095,050,441.31 - Step 5: Solve for x
x = 18,095,050,441.31/122,983.68 - Step 6: Final answer
x = 147,133.75
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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.