Finding the Fourth Proportional to 150,203.14, 207,280.74 and 83,135.14
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Solution
The fourth proportional to 150,203.14, 207,280.74 and 83,135.14 is: 114,726.72
Step by Step Solution
- Step 1: Write the proportion equation
150,203.14 : 207,280.74 = 83,135.14 : x - Step 2: Convert to fraction form
150,203.14/207,280.74 = 83,135.14/x - Step 3: Cross multiply
150,203.14x = 207,280.74 × 83,135.14 - Step 4: Simplify right side
150,203.14x = 17,232,313,339.20 - Step 5: Solve for x
x = 17,232,313,339.20/150,203.14 - Step 6: Final answer
x = 114,726.72
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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.