Finding the Fourth Proportional to 144,093,176.99, 198,848,298.69 and 78,013,657.25
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Solution
The fourth proportional to 144,093,176.99, 198,848,298.69 and 78,013,657.25 is: 107,658,692.40
Step by Step Solution
- Step 1: Write the proportion equation
144,093,176.99 : 198,848,298.69 = 78,013,657.25 : x - Step 2: Convert to fraction form
144,093,176.99/198,848,298.69 = 78,013,657.25/x - Step 3: Cross multiply
144,093,176.99x = 198,848,298.69 × 78,013,657.25 - Step 4: Simplify right side
144,093,176.99x = 15,512,883,017,753,044 - Step 5: Solve for x
x = 15,512,883,017,753,044/144,093,176.99 - Step 6: Final answer
x = 107,658,692.40
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.