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Finding the Fourth Proportional to 106,505.97, 146,978.07 and 58,107.90

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Solution

The fourth proportional to 106,505.97, 146,978.07 and 58,107.90 is: 80,188.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,505.97 : 146,978.07 = 58,107.90 : x
  2. Step 2: Convert to fraction form
    106,505.97/146,978.07 = 58,107.90/x
  3. Step 3: Cross multiply
    106,505.97x = 146,978.07 × 58,107.90
  4. Step 4: Simplify right side
    106,505.97x = 8,540,586,993.75
  5. Step 5: Solve for x
    x = 8,540,586,993.75/106,505.97
  6. Step 6: Final answer
    x = 80,188.81

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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.