Finding the Fourth Proportional to 106,027.23, 159,037.20 and 27,142.14
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Solution
The fourth proportional to 106,027.23, 159,037.20 and 27,142.14 is: 40,712.28
Step by Step Solution
- Step 1: Write the proportion equation
106,027.23 : 159,037.20 = 27,142.14 : x - Step 2: Convert to fraction form
106,027.23/159,037.20 = 27,142.14/x - Step 3: Cross multiply
106,027.23x = 159,037.20 × 27,142.14 - Step 4: Simplify right side
106,027.23x = 4,316,609,947.61 - Step 5: Solve for x
x = 4,316,609,947.61/106,027.23 - Step 6: Final answer
x = 40,712.28
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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.