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Finding the Fourth Proportional to 230,650.20, 345,942.90 and 72,894.60

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Solution

The fourth proportional to 230,650.20, 345,942.90 and 72,894.60 is: 109,331.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,650.20 : 345,942.90 = 72,894.60 : x
  2. Step 2: Convert to fraction form
    230,650.20/345,942.90 = 72,894.60/x
  3. Step 3: Cross multiply
    230,650.20x = 345,942.90 × 72,894.60
  4. Step 4: Simplify right side
    230,650.20x = 25,217,369,318.34
  5. Step 5: Solve for x
    x = 25,217,369,318.34/230,650.20
  6. Step 6: Final answer
    x = 109,331.66

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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.