Finding the Fourth Proportional to 102,530.97, 153,801.12 and 31,448.43
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Solution
The fourth proportional to 102,530.97, 153,801.12 and 31,448.43 is: 47,174.08
Step by Step Solution
- Step 1: Write the proportion equation
102,530.97 : 153,801.12 = 31,448.43 : x - Step 2: Convert to fraction form
102,530.97/153,801.12 = 31,448.43/x - Step 3: Cross multiply
102,530.97x = 153,801.12 × 31,448.43 - Step 4: Simplify right side
102,530.97x = 4,836,803,756.24 - Step 5: Solve for x
x = 4,836,803,756.24/102,530.97 - Step 6: Final answer
x = 47,174.08
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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.