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Finding the Fourth Proportional to 230,072.36, 345,143.36 and 72,285.98

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Solution

The fourth proportional to 230,072.36, 345,143.36 and 72,285.98 is: 108,439.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,072.36 : 345,143.36 = 72,285.98 : x
  2. Step 2: Convert to fraction form
    230,072.36/345,143.36 = 72,285.98/x
  3. Step 3: Cross multiply
    230,072.36x = 345,143.36 × 72,285.98
  4. Step 4: Simplify right side
    230,072.36x = 24,949,023,930.95
  5. Step 5: Solve for x
    x = 24,949,023,930.95/230,072.36
  6. Step 6: Final answer
    x = 108,439.90

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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.