Finding the Fourth Proportional to 105,102.24, 145,044.17 and 57,358.65
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Solution
The fourth proportional to 105,102.24, 145,044.17 and 57,358.65 is: 79,156.62
Step by Step Solution
- Step 1: Write the proportion equation
105,102.24 : 145,044.17 = 57,358.65 : x - Step 2: Convert to fraction form
105,102.24/145,044.17 = 57,358.65/x - Step 3: Cross multiply
105,102.24x = 145,044.17 × 57,358.65 - Step 4: Simplify right side
105,102.24x = 8,319,537,781.57 - Step 5: Solve for x
x = 8,319,537,781.57/105,102.24 - Step 6: Final answer
x = 79,156.62
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Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.