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Finding the Fourth Proportional to 100,185.97, 150,040.41 and 57,977.05

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Solution

The fourth proportional to 100,185.97, 150,040.41 and 57,977.05 is: 86,827.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,185.97 : 150,040.41 = 57,977.05 : x
  2. Step 2: Convert to fraction form
    100,185.97/150,040.41 = 57,977.05/x
  3. Step 3: Cross multiply
    100,185.97x = 150,040.41 × 57,977.05
  4. Step 4: Simplify right side
    100,185.97x = 8,698,900,352.59
  5. Step 5: Solve for x
    x = 8,698,900,352.59/100,185.97
  6. Step 6: Final answer
    x = 86,827.53

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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.