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Finding the Fourth Proportional to 230,023.70, 345,046.35 and 72,257.30

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Solution

The fourth proportional to 230,023.70, 345,046.35 and 72,257.30 is: 108,389.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,023.70 : 345,046.35 = 72,257.30 : x
  2. Step 2: Convert to fraction form
    230,023.70/345,046.35 = 72,257.30/x
  3. Step 3: Cross multiply
    230,023.70x = 345,046.35 × 72,257.30
  4. Step 4: Simplify right side
    230,023.70x = 24,932,117,625.86
  5. Step 5: Solve for x
    x = 24,932,117,625.86/230,023.70
  6. Step 6: Final answer
    x = 108,389.34

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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.