Finding the Fourth Proportional to 31,104,122.70, 46,656,184.05 and 27,702,900.30
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Solution
The fourth proportional to 31,104,122.70, 46,656,184.05 and 27,702,900.30 is: 41,554,350.45
Step by Step Solution
- Step 1: Write the proportion equation
31,104,122.70 : 46,656,184.05 = 27,702,900.30 : x - Step 2: Convert to fraction form
31,104,122.70/46,656,184.05 = 27,702,900.30/x - Step 3: Cross multiply
31,104,122.70x = 46,656,184.05 × 27,702,900.30 - Step 4: Simplify right side
31,104,122.70x = 1,292,511,615,115,600.25 - Step 5: Solve for x
x = 1,292,511,615,115,600.25/31,104,122.70 - Step 6: Final answer
x = 41,554,350.45
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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.