Finding the Fourth Proportional to 83,782.98, 115,625.75 and 47,972.07
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Solution
The fourth proportional to 83,782.98, 115,625.75 and 47,972.07 is: 66,204.45
Step by Step Solution
- Step 1: Write the proportion equation
83,782.98 : 115,625.75 = 47,972.07 : x - Step 2: Convert to fraction form
83,782.98/115,625.75 = 47,972.07/x - Step 3: Cross multiply
83,782.98x = 115,625.75 × 47,972.07 - Step 4: Simplify right side
83,782.98x = 5,546,806,332.94 - Step 5: Solve for x
x = 5,546,806,332.94/83,782.98 - Step 6: Final answer
x = 66,204.45
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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.