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Finding the Fourth Proportional to 75,145.16, 103,696.18 and 41,609

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Solution

The fourth proportional to 75,145.16, 103,696.18 and 41,609 is: 57,418.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,145.16 : 103,696.18 = 41,609 : x
  2. Step 2: Convert to fraction form
    75,145.16/103,696.18 = 41,609/x
  3. Step 3: Cross multiply
    75,145.16x = 103,696.18 × 41,609
  4. Step 4: Simplify right side
    75,145.16x = 4,314,694,353.62
  5. Step 5: Solve for x
    x = 4,314,694,353.62/75,145.16
  6. Step 6: Final answer
    x = 57,418.13

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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.