Finding the Fourth Proportional to 126,112,117.80, 189,168,176.70 and 126,112,117.80
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Solution
The fourth proportional to 126,112,117.80, 189,168,176.70 and 126,112,117.80 is: 189,168,176.70
Step by Step Solution
- Step 1: Write the proportion equation
126,112,117.80 : 189,168,176.70 = 126,112,117.80 : x - Step 2: Convert to fraction form
126,112,117.80/189,168,176.70 = 126,112,117.80/x - Step 3: Cross multiply
126,112,117.80x = 189,168,176.70 × 126,112,117.80 - Step 4: Simplify right side
126,112,117.80x = 23,856,399,384,001,612 - Step 5: Solve for x
x = 23,856,399,384,001,612/126,112,117.80 - Step 6: Final answer
x = 189,168,176.70
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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.