Finding the Fourth Proportional to 146,370,507.20, 201,987,604.53 and 83,642,615.99
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Solution
The fourth proportional to 146,370,507.20, 201,987,604.53 and 83,642,615.99 is: 115,424,698.35
Step by Step Solution
- Step 1: Write the proportion equation
146,370,507.20 : 201,987,604.53 = 83,642,615.99 : x - Step 2: Convert to fraction form
146,370,507.20/201,987,604.53 = 83,642,615.99/x - Step 3: Cross multiply
146,370,507.20x = 201,987,604.53 × 83,642,615.99 - Step 4: Simplify right side
146,370,507.20x = 16,894,771,640,190,290 - Step 5: Solve for x
x = 16,894,771,640,190,290/146,370,507.20 - Step 6: Final answer
x = 115,424,698.35
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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.