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Finding the Fourth Proportional to 146,135.88, 219,027.60 and 71,143.68

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Solution

The fourth proportional to 146,135.88, 219,027.60 and 71,143.68 is: 106,629.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,135.88 : 219,027.60 = 71,143.68 : x
  2. Step 2: Convert to fraction form
    146,135.88/219,027.60 = 71,143.68/x
  3. Step 3: Cross multiply
    146,135.88x = 219,027.60 × 71,143.68
  4. Step 4: Simplify right side
    146,135.88x = 15,582,429,485.57
  5. Step 5: Solve for x
    x = 15,582,429,485.57/146,135.88
  6. Step 6: Final answer
    x = 106,629.73

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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.