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Finding the Fourth Proportional to 127,107.74, 190,662.90 and 38,361.98

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Solution

The fourth proportional to 127,107.74, 190,662.90 and 38,361.98 is: 57,543.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,107.74 : 190,662.90 = 38,361.98 : x
  2. Step 2: Convert to fraction form
    127,107.74/190,662.90 = 38,361.98/x
  3. Step 3: Cross multiply
    127,107.74x = 190,662.90 × 38,361.98
  4. Step 4: Simplify right side
    127,107.74x = 7,314,206,356.54
  5. Step 5: Solve for x
    x = 7,314,206,356.54/127,107.74
  6. Step 6: Final answer
    x = 57,543.36

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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.