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Finding the Fourth Proportional to 49,375, 68,139.22 and 27,019

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Solution

The fourth proportional to 49,375, 68,139.22 and 27,019 is: 37,287.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,375 : 68,139.22 = 27,019 : x
  2. Step 2: Convert to fraction form
    49,375/68,139.22 = 27,019/x
  3. Step 3: Cross multiply
    49,375x = 68,139.22 × 27,019
  4. Step 4: Simplify right side
    49,375x = 1,841,053,585.18
  5. Step 5: Solve for x
    x = 1,841,053,585.18/49,375
  6. Step 6: Final answer
    x = 37,287.16

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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.