Finding the Fourth Proportional to 175,998,128.13, 242,922,061.80 and 120,266,107.29
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Solution
The fourth proportional to 175,998,128.13, 242,922,061.80 and 120,266,107.29 is: 165,997,735.65
Step by Step Solution
- Step 1: Write the proportion equation
175,998,128.13 : 242,922,061.80 = 120,266,107.29 : x - Step 2: Convert to fraction form
175,998,128.13/242,922,061.80 = 120,266,107.29/x - Step 3: Cross multiply
175,998,128.13x = 242,922,061.80 × 120,266,107.29 - Step 4: Simplify right side
175,998,128.13x = 29,215,290,747,546,812 - Step 5: Solve for x
x = 29,215,290,747,546,812/175,998,128.13 - Step 6: Final answer
x = 165,997,735.65
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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.