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Finding the Fourth Proportional to 230,008.68, 345,029.76 and 72,235.80

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Solution

The fourth proportional to 230,008.68, 345,029.76 and 72,235.80 is: 108,358.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,008.68 : 345,029.76 = 72,235.80 : x
  2. Step 2: Convert to fraction form
    230,008.68/345,029.76 = 72,235.80/x
  3. Step 3: Cross multiply
    230,008.68x = 345,029.76 × 72,235.80
  4. Step 4: Simplify right side
    230,008.68x = 24,923,500,737.41
  5. Step 5: Solve for x
    x = 24,923,500,737.41/230,008.68
  6. Step 6: Final answer
    x = 108,358.96

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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.