Finding the Fourth Proportional to 143,046,612,497.92, 197,342,297,564.16 and 85,142,524,231.36
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Solution
The fourth proportional to 143,046,612,497.92, 197,342,297,564.16 and 85,142,524,231.36 is: 117,459,764,050.50
Step by Step Solution
- Step 1: Write the proportion equation
143,046,612,497.92 : 197,342,297,564.16 = 85,142,524,231.36 : x - Step 2: Convert to fraction form
143,046,612,497.92/197,342,297,564.16 = 85,142,524,231.36/x - Step 3: Cross multiply
143,046,612,497.92x = 197,342,297,564.16 × 85,142,524,231.36 - Step 4: Simplify right side
143,046,612,497.92x = 16,802,221,352,228,749,312,000 - Step 5: Solve for x
x = 16,802,221,352,228,749,312,000/143,046,612,497.92 - Step 6: Final answer
x = 117,459,764,050.50
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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.