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Finding the Fourth Proportional to 188,174.81, 281,862.36 and 127,422

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Solution

The fourth proportional to 188,174.81, 281,862.36 and 127,422 is: 190,862.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,174.81 : 281,862.36 = 127,422 : x
  2. Step 2: Convert to fraction form
    188,174.81/281,862.36 = 127,422/x
  3. Step 3: Cross multiply
    188,174.81x = 281,862.36 × 127,422
  4. Step 4: Simplify right side
    188,174.81x = 35,915,465,635.92
  5. Step 5: Solve for x
    x = 35,915,465,635.92/188,174.81
  6. Step 6: Final answer
    x = 190,862.24

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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.