Finding the Fourth Proportional to 106,903.83, 160,308.35 and 56,974.62
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Solution
The fourth proportional to 106,903.83, 160,308.35 and 56,974.62 is: 85,436.67
Step by Step Solution
- Step 1: Write the proportion equation
106,903.83 : 160,308.35 = 56,974.62 : x - Step 2: Convert to fraction form
106,903.83/160,308.35 = 56,974.62/x - Step 3: Cross multiply
106,903.83x = 160,308.35 × 56,974.62 - Step 4: Simplify right side
106,903.83x = 9,133,507,039.20 - Step 5: Solve for x
x = 9,133,507,039.20/106,903.83 - Step 6: Final answer
x = 85,436.67
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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.