Finding the Fourth Proportional to 178,220,137,177.06, 267,440,163,792 and 82,588,330,827.26
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Solution
The fourth proportional to 178,220,137,177.06, 267,440,163,792 and 82,588,330,827.26 is: 123,933,451,480.89
Step by Step Solution
- Step 1: Write the proportion equation
178,220,137,177.06 : 267,440,163,792 = 82,588,330,827.26 : x - Step 2: Convert to fraction form
178,220,137,177.06/267,440,163,792 = 82,588,330,827.26/x - Step 3: Cross multiply
178,220,137,177.06x = 267,440,163,792 × 82,588,330,827.26 - Step 4: Simplify right side
178,220,137,177.06x = 22,087,436,723,750,294,257,664 - Step 5: Solve for x
x = 22,087,436,723,750,294,257,664/178,220,137,177.06 - Step 6: Final answer
x = 123,933,451,480.89
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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.