Finding the Fourth Proportional to 105,178,175.38, 157,775,193.24 and 31,396,126.99
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Solution
The fourth proportional to 105,178,175.38, 157,775,193.24 and 31,396,126.99 is: 47,096,557.67
Step by Step Solution
- Step 1: Write the proportion equation
105,178,175.38 : 157,775,193.24 = 31,396,126.99 : x - Step 2: Convert to fraction form
105,178,175.38/157,775,193.24 = 31,396,126.99/x - Step 3: Cross multiply
105,178,175.38x = 157,775,193.24 × 31,396,126.99 - Step 4: Simplify right side
105,178,175.38x = 4,953,530,002,834,830 - Step 5: Solve for x
x = 4,953,530,002,834,830/105,178,175.38 - Step 6: Final answer
x = 47,096,557.67
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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.