Finding the Fourth Proportional to 100,408.44, 138,565.26 and 57,970.68
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Solution
The fourth proportional to 100,408.44, 138,565.26 and 57,970.68 is: 80,000.47
Step by Step Solution
- Step 1: Write the proportion equation
100,408.44 : 138,565.26 = 57,970.68 : x - Step 2: Convert to fraction form
100,408.44/138,565.26 = 57,970.68/x - Step 3: Cross multiply
100,408.44x = 138,565.26 × 57,970.68 - Step 4: Simplify right side
100,408.44x = 8,032,722,346.58 - Step 5: Solve for x
x = 8,032,722,346.58/100,408.44 - Step 6: Final answer
x = 80,000.47
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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.