Finding the Fourth Proportional to 75,587.68, 113,282.16 and 31,189.74
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Solution
The fourth proportional to 75,587.68, 113,282.16 and 31,189.74 is: 46,743.61
Step by Step Solution
- Step 1: Write the proportion equation
75,587.68 : 113,282.16 = 31,189.74 : x - Step 2: Convert to fraction form
75,587.68/113,282.16 = 31,189.74/x - Step 3: Cross multiply
75,587.68x = 113,282.16 × 31,189.74 - Step 4: Simplify right side
75,587.68x = 3,533,241,117.04 - Step 5: Solve for x
x = 3,533,241,117.04/75,587.68 - Step 6: Final answer
x = 46,743.61
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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.