Finding the Fourth Proportional to 180,838,988.21, 270,917,138.05 and 106,841,972
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Solution
The fourth proportional to 180,838,988.21, 270,917,138.05 and 106,841,972 is: 160,061,287.47
Step by Step Solution
- Step 1: Write the proportion equation
180,838,988.21 : 270,917,138.05 = 106,841,972 : x - Step 2: Convert to fraction form
180,838,988.21/270,917,138.05 = 106,841,972/x - Step 3: Cross multiply
180,838,988.21x = 270,917,138.05 × 106,841,972 - Step 4: Simplify right side
180,838,988.21x = 28,945,321,277,858,236 - Step 5: Solve for x
x = 28,945,321,277,858,236/180,838,988.21 - Step 6: Final answer
x = 160,061,287.47
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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.