Finding the Fourth Proportional to 143,400,461,992.54, 197,909,990,975.62 and 81,616,054,457.96
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Solution
The fourth proportional to 143,400,461,992.54, 197,909,990,975.62 and 81,616,054,457.96 is: 112,640,031,815.80
Step by Step Solution
- Step 1: Write the proportion equation
143,400,461,992.54 : 197,909,990,975.62 = 81,616,054,457.96 : x - Step 2: Convert to fraction form
143,400,461,992.54/197,909,990,975.62 = 81,616,054,457.96/x - Step 3: Cross multiply
143,400,461,992.54x = 197,909,990,975.62 × 81,616,054,457.96 - Step 4: Simplify right side
143,400,461,992.54x = 16,152,632,601,240,575,934,464 - Step 5: Solve for x
x = 16,152,632,601,240,575,934,464/143,400,461,992.54 - Step 6: Final answer
x = 112,640,031,815.80
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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.