Finding the Fourth Proportional to 138,148,808,000.20, 207,223,212,000.30 and 128,230,843,481.80
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Solution
The fourth proportional to 138,148,808,000.20, 207,223,212,000.30 and 128,230,843,481.80 is: 192,346,265,222.70
Step by Step Solution
- Step 1: Write the proportion equation
138,148,808,000.20 : 207,223,212,000.30 = 128,230,843,481.80 : x - Step 2: Convert to fraction form
138,148,808,000.20/207,223,212,000.30 = 128,230,843,481.80/x - Step 3: Cross multiply
138,148,808,000.20x = 207,223,212,000.30 × 128,230,843,481.80 - Step 4: Simplify right side
138,148,808,000.20x = 26,572,407,263,806,328,143,872 - Step 5: Solve for x
x = 26,572,407,263,806,328,143,872/138,148,808,000.20 - Step 6: Final answer
x = 192,346,265,222.70
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1.5x scale
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.