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Finding the Fourth Proportional to 146,784.40, 220,183.80 and 76,800.40

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Solution

The fourth proportional to 146,784.40, 220,183.80 and 76,800.40 is: 115,204.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,784.40 : 220,183.80 = 76,800.40 : x
  2. Step 2: Convert to fraction form
    146,784.40/220,183.80 = 76,800.40/x
  3. Step 3: Cross multiply
    146,784.40x = 220,183.80 × 76,800.40
  4. Step 4: Simplify right side
    146,784.40x = 16,910,203,913.52
  5. Step 5: Solve for x
    x = 16,910,203,913.52/146,784.40
  6. Step 6: Final answer
    x = 115,204.37

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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.