Finding the Fourth Proportional to 157,102.12, 235,481.80 and 77,195.08
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Solution
The fourth proportional to 157,102.12, 235,481.80 and 77,195.08 is: 115,708.41
Step by Step Solution
- Step 1: Write the proportion equation
157,102.12 : 235,481.80 = 77,195.08 : x - Step 2: Convert to fraction form
157,102.12/235,481.80 = 77,195.08/x - Step 3: Cross multiply
157,102.12x = 235,481.80 × 77,195.08 - Step 4: Simplify right side
157,102.12x = 18,178,036,389.54 - Step 5: Solve for x
x = 18,178,036,389.54/157,102.12 - Step 6: Final answer
x = 115,708.41
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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.