Finding the Fourth Proportional to 102,214.77, 153,311.36 and 27,342.47
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Solution
The fourth proportional to 102,214.77, 153,311.36 and 27,342.47 is: 41,010.82
Step by Step Solution
- Step 1: Write the proportion equation
102,214.77 : 153,311.36 = 27,342.47 : x - Step 2: Convert to fraction form
102,214.77/153,311.36 = 27,342.47/x - Step 3: Cross multiply
102,214.77x = 153,311.36 × 27,342.47 - Step 4: Simplify right side
102,214.77x = 4,191,911,261.46 - Step 5: Solve for x
x = 4,191,911,261.46/102,214.77 - Step 6: Final answer
x = 41,010.82
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.