Finding the Fourth Proportional to 106,303.92, 159,365.34 and 47,107.32
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Solution
The fourth proportional to 106,303.92, 159,365.34 and 47,107.32 is: 70,620.86
Step by Step Solution
- Step 1: Write the proportion equation
106,303.92 : 159,365.34 = 47,107.32 : x - Step 2: Convert to fraction form
106,303.92/159,365.34 = 47,107.32/x - Step 3: Cross multiply
106,303.92x = 159,365.34 × 47,107.32 - Step 4: Simplify right side
106,303.92x = 7,507,274,068.29 - Step 5: Solve for x
x = 7,507,274,068.29/106,303.92 - Step 6: Final answer
x = 70,620.86
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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.