Finding the Fourth Proportional to 102,110.24, 153,176.30 and 31,032.74
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Solution
The fourth proportional to 102,110.24, 153,176.30 and 31,032.74 is: 46,552.43
Step by Step Solution
- Step 1: Write the proportion equation
102,110.24 : 153,176.30 = 31,032.74 : x - Step 2: Convert to fraction form
102,110.24/153,176.30 = 31,032.74/x - Step 3: Cross multiply
102,110.24x = 153,176.30 × 31,032.74 - Step 4: Simplify right side
102,110.24x = 4,753,480,292.06 - Step 5: Solve for x
x = 4,753,480,292.06/102,110.24 - Step 6: Final answer
x = 46,552.43
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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.