Finding the Fourth Proportional to 149,491,214.30, 224,236,821.45 and 97,835,149.10
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Solution
The fourth proportional to 149,491,214.30, 224,236,821.45 and 97,835,149.10 is: 146,752,723.65
Step by Step Solution
- Step 1: Write the proportion equation
149,491,214.30 : 224,236,821.45 = 97,835,149.10 : x - Step 2: Convert to fraction form
149,491,214.30/224,236,821.45 = 97,835,149.10/x - Step 3: Cross multiply
149,491,214.30x = 224,236,821.45 × 97,835,149.10 - Step 4: Simplify right side
149,491,214.30x = 21,938,242,860,270,824 - Step 5: Solve for x
x = 21,938,242,860,270,824/149,491,214.30 - Step 6: Final answer
x = 146,752,723.65
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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.