Finding the Fourth Proportional to 105,101.78, 157,648.26 and 48,922.58
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Solution
The fourth proportional to 105,101.78, 157,648.26 and 48,922.58 is: 73,381.82
Step by Step Solution
- Step 1: Write the proportion equation
105,101.78 : 157,648.26 = 48,922.58 : x - Step 2: Convert to fraction form
105,101.78/157,648.26 = 48,922.58/x - Step 3: Cross multiply
105,101.78x = 157,648.26 × 48,922.58 - Step 4: Simplify right side
105,101.78x = 7,712,559,611.71 - Step 5: Solve for x
x = 7,712,559,611.71/105,101.78 - Step 6: Final answer
x = 73,381.82
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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.