Finding the Fourth Proportional to 83,069.84, 114,634.92 and 47,259.09
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Solution
The fourth proportional to 83,069.84, 114,634.92 and 47,259.09 is: 65,216.71
Step by Step Solution
- Step 1: Write the proportion equation
83,069.84 : 114,634.92 = 47,259.09 : x - Step 2: Convert to fraction form
83,069.84/114,634.92 = 47,259.09/x - Step 3: Cross multiply
83,069.84x = 114,634.92 × 47,259.09 - Step 4: Simplify right side
83,069.84x = 5,417,542,001.42 - Step 5: Solve for x
x = 5,417,542,001.42/83,069.84 - Step 6: Final answer
x = 65,216.71
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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.