Finding the Fourth Proportional to 134,013.92, 184,926.10 and 77,424.08
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Solution
The fourth proportional to 134,013.92, 184,926.10 and 77,424.08 is: 106,837.66
Step by Step Solution
- Step 1: Write the proportion equation
134,013.92 : 184,926.10 = 77,424.08 : x - Step 2: Convert to fraction form
134,013.92/184,926.10 = 77,424.08/x - Step 3: Cross multiply
134,013.92x = 184,926.10 × 77,424.08 - Step 4: Simplify right side
134,013.92x = 14,317,733,160.49 - Step 5: Solve for x
x = 14,317,733,160.49/134,013.92 - Step 6: Final answer
x = 106,837.66
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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.