Finding the Fourth Proportional to 102,431.42, 153,641.65 and 31,354.09
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Solution
The fourth proportional to 102,431.42, 153,641.65 and 31,354.09 is: 47,029.46
Step by Step Solution
- Step 1: Write the proportion equation
102,431.42 : 153,641.65 = 31,354.09 : x - Step 2: Convert to fraction form
102,431.42/153,641.65 = 31,354.09/x - Step 3: Cross multiply
102,431.42x = 153,641.65 × 31,354.09 - Step 4: Simplify right side
102,431.42x = 4,817,294,324.81 - Step 5: Solve for x
x = 4,817,294,324.81/102,431.42 - Step 6: Final answer
x = 47,029.46
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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.