Finding the Fourth Proportional to 105,178,174.38, 157,775,191.74 and 31,396,125.99
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Solution
The fourth proportional to 105,178,174.38, 157,775,191.74 and 31,396,125.99 is: 47,096,556.18
Step by Step Solution
- Step 1: Write the proportion equation
105,178,174.38 : 157,775,191.74 = 31,396,125.99 : x - Step 2: Convert to fraction form
105,178,174.38/157,775,191.74 = 31,396,125.99/x - Step 3: Cross multiply
105,178,174.38x = 157,775,191.74 × 31,396,125.99 - Step 4: Simplify right side
105,178,174.38x = 4,953,529,798,557,104 - Step 5: Solve for x
x = 4,953,529,798,557,104/105,178,174.38 - Step 6: Final answer
x = 47,096,556.18
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.