Finding the Fourth Proportional to 157,691.20, 217,683.84 and 106,777.84
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Solution
The fourth proportional to 157,691.20, 217,683.84 and 106,777.84 is: 147,400.81
Step by Step Solution
- Step 1: Write the proportion equation
157,691.20 : 217,683.84 = 106,777.84 : x - Step 2: Convert to fraction form
157,691.20/217,683.84 = 106,777.84/x - Step 3: Cross multiply
157,691.20x = 217,683.84 × 106,777.84 - Step 4: Simplify right side
157,691.20x = 23,243,810,238.11 - Step 5: Solve for x
x = 23,243,810,238.11/157,691.20 - Step 6: Final answer
x = 147,400.81
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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.