Finding the Fourth Proportional to 159,828.53, 220,533.84 and 102,478.10
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Solution
The fourth proportional to 159,828.53, 220,533.84 and 102,478.10 is: 141,400.84
Step by Step Solution
- Step 1: Write the proportion equation
159,828.53 : 220,533.84 = 102,478.10 : x - Step 2: Convert to fraction form
159,828.53/220,533.84 = 102,478.10/x - Step 3: Cross multiply
159,828.53x = 220,533.84 × 102,478.10 - Step 4: Simplify right side
159,828.53x = 22,599,887,806.23 - Step 5: Solve for x
x = 22,599,887,806.23/159,828.53 - Step 6: Final answer
x = 141,400.84
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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.