Finding the Fourth Proportional to 208,305.84, 287,462.16 and 112,812.96
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Solution
The fourth proportional to 208,305.84, 287,462.16 and 112,812.96 is: 155,681.94
Step by Step Solution
- Step 1: Write the proportion equation
208,305.84 : 287,462.16 = 112,812.96 : x - Step 2: Convert to fraction form
208,305.84/287,462.16 = 112,812.96/x - Step 3: Cross multiply
208,305.84x = 287,462.16 × 112,812.96 - Step 4: Simplify right side
208,305.84x = 32,429,457,157.59 - Step 5: Solve for x
x = 32,429,457,157.59/208,305.84 - Step 6: Final answer
x = 155,681.94
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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.