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Finding the Fourth Proportional to 106,281.40, 146,684.46 and 80,745.88

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Solution

The fourth proportional to 106,281.40, 146,684.46 and 80,745.88 is: 111,441.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,281.40 : 146,684.46 = 80,745.88 : x
  2. Step 2: Convert to fraction form
    106,281.40/146,684.46 = 80,745.88/x
  3. Step 3: Cross multiply
    106,281.40x = 146,684.46 × 80,745.88
  4. Step 4: Simplify right side
    106,281.40x = 11,844,165,805.02
  5. Step 5: Solve for x
    x = 11,844,165,805.02/106,281.40
  6. Step 6: Final answer
    x = 111,441.57

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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.