Finding the Fourth Proportional to 102,197.97, 141,023.43 and 75,354.98
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Solution
The fourth proportional to 102,197.97, 141,023.43 and 75,354.98 is: 103,982.66
Step by Step Solution
- Step 1: Write the proportion equation
102,197.97 : 141,023.43 = 75,354.98 : x - Step 2: Convert to fraction form
102,197.97/141,023.43 = 75,354.98/x - Step 3: Cross multiply
102,197.97x = 141,023.43 × 75,354.98 - Step 4: Simplify right side
102,197.97x = 10,626,817,042.06 - Step 5: Solve for x
x = 10,626,817,042.06/102,197.97 - Step 6: Final answer
x = 103,982.66
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1.5x scale
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.