Finding the Fourth Proportional to 109,415.14, 164,122.70 and 26,309.14
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Solution
The fourth proportional to 109,415.14, 164,122.70 and 26,309.14 is: 39,463.71
Step by Step Solution
- Step 1: Write the proportion equation
109,415.14 : 164,122.70 = 26,309.14 : x - Step 2: Convert to fraction form
109,415.14/164,122.70 = 26,309.14/x - Step 3: Cross multiply
109,415.14x = 164,122.70 × 26,309.14 - Step 4: Simplify right side
109,415.14x = 4,317,927,091.48 - Step 5: Solve for x
x = 4,317,927,091.48/109,415.14 - Step 6: Final answer
x = 39,463.71
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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.