Finding the Fourth Proportional to 106,293.40, 159,497.70 and 47,138.20
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Solution
The fourth proportional to 106,293.40, 159,497.70 and 47,138.20 is: 70,732.84
Step by Step Solution
- Step 1: Write the proportion equation
106,293.40 : 159,497.70 = 47,138.20 : x - Step 2: Convert to fraction form
106,293.40/159,497.70 = 47,138.20/x - Step 3: Cross multiply
106,293.40x = 159,497.70 × 47,138.20 - Step 4: Simplify right side
106,293.40x = 7,518,434,482.14 - Step 5: Solve for x
x = 7,518,434,482.14/106,293.40 - Step 6: Final answer
x = 70,732.84
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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.