Finding the Fourth Proportional to 106,104.14, 159,155.49 and 27,218.42
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Solution
The fourth proportional to 106,104.14, 159,155.49 and 27,218.42 is: 40,827.45
Step by Step Solution
- Step 1: Write the proportion equation
106,104.14 : 159,155.49 = 27,218.42 : x - Step 2: Convert to fraction form
106,104.14/159,155.49 = 27,218.42/x - Step 3: Cross multiply
106,104.14x = 159,155.49 × 27,218.42 - Step 4: Simplify right side
106,104.14x = 4,331,960,972.13 - Step 5: Solve for x
x = 4,331,960,972.13/106,104.14 - Step 6: Final answer
x = 40,827.45
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1.5x scale
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.