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Finding the Fourth Proportional to 230,458.24, 345,687.36 and 72,698.95

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Solution

The fourth proportional to 230,458.24, 345,687.36 and 72,698.95 is: 109,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,458.24 : 345,687.36 = 72,698.95 : x
  2. Step 2: Convert to fraction form
    230,458.24/345,687.36 = 72,698.95/x
  3. Step 3: Cross multiply
    230,458.24x = 345,687.36 × 72,698.95
  4. Step 4: Simplify right side
    230,458.24x = 25,131,108,100.27
  5. Step 5: Solve for x
    x = 25,131,108,100.27/230,458.24
  6. Step 6: Final answer
    x = 109,048.43

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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.