Finding the Fourth Proportional to 31,102,170.42, 46,647,938.43 and 8,377,753.26
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Solution
The fourth proportional to 31,102,170.42, 46,647,938.43 and 8,377,753.26 is: 12,565,197.64
Step by Step Solution
- Step 1: Write the proportion equation
31,102,170.42 : 46,647,938.43 = 8,377,753.26 : x - Step 2: Convert to fraction form
31,102,170.42/46,647,938.43 = 8,377,753.26/x - Step 3: Cross multiply
31,102,170.42x = 46,647,938.43 × 8,377,753.26 - Step 4: Simplify right side
31,102,170.42x = 390,804,918,254,211.75 - Step 5: Solve for x
x = 390,804,918,254,211.75/31,102,170.42 - Step 6: Final answer
x = 12,565,197.64
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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.