Finding the Fourth Proportional to 97,100,114.40, 145,461,214.80 and 53,891,992.80
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Solution
The fourth proportional to 97,100,114.40, 145,461,214.80 and 53,891,992.80 is: 80,733,115.39
Step by Step Solution
- Step 1: Write the proportion equation
97,100,114.40 : 145,461,214.80 = 53,891,992.80 : x - Step 2: Convert to fraction form
97,100,114.40/145,461,214.80 = 53,891,992.80/x - Step 3: Cross multiply
97,100,114.40x = 145,461,214.80 × 53,891,992.80 - Step 4: Simplify right side
97,100,114.40x = 7,839,194,740,680,854 - Step 5: Solve for x
x = 7,839,194,740,680,854/97,100,114.40 - Step 6: Final answer
x = 80,733,115.39
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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.