Finding the Fourth Proportional to 102,606.68, 141,656.08 and 78,216.14
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Solution
The fourth proportional to 102,606.68, 141,656.08 and 78,216.14 is: 107,983.14
Step by Step Solution
- Step 1: Write the proportion equation
102,606.68 : 141,656.08 = 78,216.14 : x - Step 2: Convert to fraction form
102,606.68/141,656.08 = 78,216.14/x - Step 3: Cross multiply
102,606.68x = 141,656.08 × 78,216.14 - Step 4: Simplify right side
102,606.68x = 11,079,791,785.13 - Step 5: Solve for x
x = 11,079,791,785.13/102,606.68 - Step 6: Final answer
x = 107,983.14
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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.