Finding the Fourth Proportional to 146,107,360,495.21, 201,556,507,835.65 and 126,789,707,253.18
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Solution
The fourth proportional to 146,107,360,495.21, 201,556,507,835.65 and 126,789,707,253.18 is: 174,907,619,553.45
Step by Step Solution
- Step 1: Write the proportion equation
146,107,360,495.21 : 201,556,507,835.65 = 126,789,707,253.18 : x - Step 2: Convert to fraction form
146,107,360,495.21/201,556,507,835.65 = 126,789,707,253.18/x - Step 3: Cross multiply
146,107,360,495.21x = 201,556,507,835.65 × 126,789,707,253.18 - Step 4: Simplify right side
146,107,360,495.21x = 25,555,290,623,455,342,362,624 - Step 5: Solve for x
x = 25,555,290,623,455,342,362,624/146,107,360,495.21 - Step 6: Final answer
x = 174,907,619,553.45
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1.5x scale
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.