Finding the Fourth Proportional to 75,829.12, 113,695.02 and 31,486.48
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Solution
The fourth proportional to 75,829.12, 113,695.02 and 31,486.48 is: 47,209.51
Step by Step Solution
- Step 1: Write the proportion equation
75,829.12 : 113,695.02 = 31,486.48 : x - Step 2: Convert to fraction form
75,829.12/113,695.02 = 31,486.48/x - Step 3: Cross multiply
75,829.12x = 113,695.02 × 31,486.48 - Step 4: Simplify right side
75,829.12x = 3,579,855,973.33 - Step 5: Solve for x
x = 3,579,855,973.33/75,829.12 - Step 6: Final answer
x = 47,209.51
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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.