Finding the Fourth Proportional to 150,203,140.09, 207,277,589.84 and 83,221,853.91
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Solution
The fourth proportional to 150,203,140.09, 207,277,589.84 and 83,221,853.91 is: 114,844,638.33
Step by Step Solution
- Step 1: Write the proportion equation
150,203,140.09 : 207,277,589.84 = 83,221,853.91 : x - Step 2: Convert to fraction form
150,203,140.09/207,277,589.84 = 83,221,853.91/x - Step 3: Cross multiply
150,203,140.09x = 207,277,589.84 × 83,221,853.91 - Step 4: Simplify right side
150,203,140.09x = 17,250,025,299,287,980 - Step 5: Solve for x
x = 17,250,025,299,287,980/150,203,140.09 - Step 6: Final answer
x = 114,844,638.33
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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.