Finding the Fourth Proportional to 205,102.80, 307,654.20 and 142,117.20
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Solution
The fourth proportional to 205,102.80, 307,654.20 and 142,117.20 is: 213,175.80
Step by Step Solution
- Step 1: Write the proportion equation
205,102.80 : 307,654.20 = 142,117.20 : x - Step 2: Convert to fraction form
205,102.80/307,654.20 = 142,117.20/x - Step 3: Cross multiply
205,102.80x = 307,654.20 × 142,117.20 - Step 4: Simplify right side
205,102.80x = 43,722,953,472.24 - Step 5: Solve for x
x = 43,722,953,472.24/205,102.80 - Step 6: Final answer
x = 213,175.80
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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.