Finding the Fourth Proportional to 97,785,146,718.40, 146,677,720,077.60 and 68,031,253,163.20
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Solution
The fourth proportional to 97,785,146,718.40, 146,677,720,077.60 and 68,031,253,163.20 is: 102,046,879,744.80
Step by Step Solution
- Step 1: Write the proportion equation
97,785,146,718.40 : 146,677,720,077.60 = 68,031,253,163.20 : x - Step 2: Convert to fraction form
97,785,146,718.40/146,677,720,077.60 = 68,031,253,163.20/x - Step 3: Cross multiply
97,785,146,718.40x = 146,677,720,077.60 × 68,031,253,163.20 - Step 4: Simplify right side
97,785,146,718.40x = 9,978,669,108,000,188,268,544 - Step 5: Solve for x
x = 9,978,669,108,000,188,268,544/97,785,146,718.40 - Step 6: Final answer
x = 102,046,879,744.80
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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.