Finding the Fourth Proportional to 83,034.74, 114,587.28 and 47,224.70
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Solution
The fourth proportional to 83,034.74, 114,587.28 and 47,224.70 is: 65,169.71
Step by Step Solution
- Step 1: Write the proportion equation
83,034.74 : 114,587.28 = 47,224.70 : x - Step 2: Convert to fraction form
83,034.74/114,587.28 = 47,224.70/x - Step 3: Cross multiply
83,034.74x = 114,587.28 × 47,224.70 - Step 4: Simplify right side
83,034.74x = 5,411,349,921.82 - Step 5: Solve for x
x = 5,411,349,921.82/83,034.74 - Step 6: Final answer
x = 65,169.71
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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.