Finding the Fourth Proportional to 31,353,164.49, 47,045,154.14 and 14,093,560.05
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Solution
The fourth proportional to 31,353,164.49, 47,045,154.14 and 14,093,560.05 is: 21,147,265.86
Step by Step Solution
- Step 1: Write the proportion equation
31,353,164.49 : 47,045,154.14 = 14,093,560.05 : x - Step 2: Convert to fraction form
31,353,164.49/47,045,154.14 = 14,093,560.05/x - Step 3: Cross multiply
31,353,164.49x = 47,045,154.14 × 14,093,560.05 - Step 4: Simplify right side
31,353,164.49x = 663,033,704,968,830 - Step 5: Solve for x
x = 663,033,704,968,830/31,353,164.49 - Step 6: Final answer
x = 21,147,265.86
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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.