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Finding the Fourth Proportional to 146,735.20, 220,189.20 and 53,250.40

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Solution

The fourth proportional to 146,735.20, 220,189.20 and 53,250.40 is: 79,906.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,735.20 : 220,189.20 = 53,250.40 : x
  2. Step 2: Convert to fraction form
    146,735.20/220,189.20 = 53,250.40/x
  3. Step 3: Cross multiply
    146,735.20x = 220,189.20 × 53,250.40
  4. Step 4: Simplify right side
    146,735.20x = 11,725,162,975.68
  5. Step 5: Solve for x
    x = 11,725,162,975.68/146,735.20
  6. Step 6: Final answer
    x = 79,906.95

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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.