Finding the Fourth Proportional to 198,138,851.10, 297,208,276.65 and 106,305,846.30
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Solution
The fourth proportional to 198,138,851.10, 297,208,276.65 and 106,305,846.30 is: 159,458,769.45
Step by Step Solution
- Step 1: Write the proportion equation
198,138,851.10 : 297,208,276.65 = 106,305,846.30 : x - Step 2: Convert to fraction form
198,138,851.10/297,208,276.65 = 106,305,846.30/x - Step 3: Cross multiply
198,138,851.10x = 297,208,276.65 × 106,305,846.30 - Step 4: Simplify right side
198,138,851.10x = 31,594,977,376,642,776 - Step 5: Solve for x
x = 31,594,977,376,642,776/198,138,851.10 - Step 6: Final answer
x = 159,458,769.45
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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.