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Finding the Fourth Proportional to 146,800.80, 220,201.20 and 145,245.60

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Solution

The fourth proportional to 146,800.80, 220,201.20 and 145,245.60 is: 217,868.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,800.80 : 220,201.20 = 145,245.60 : x
  2. Step 2: Convert to fraction form
    146,800.80/220,201.20 = 145,245.60/x
  3. Step 3: Cross multiply
    146,800.80x = 220,201.20 × 145,245.60
  4. Step 4: Simplify right side
    146,800.80x = 31,983,255,414.72
  5. Step 5: Solve for x
    x = 31,983,255,414.72/146,800.80
  6. Step 6: Final answer
    x = 217,868.40

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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.