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Finding the Fourth Proportional to 103,489, 155,234.94 and 29,617

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Solution

The fourth proportional to 103,489, 155,234.94 and 29,617 is: 44,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,489 : 155,234.94 = 29,617 : x
  2. Step 2: Convert to fraction form
    103,489/155,234.94 = 29,617/x
  3. Step 3: Cross multiply
    103,489x = 155,234.94 × 29,617
  4. Step 4: Simplify right side
    103,489x = 4,597,593,217.98
  5. Step 5: Solve for x
    x = 4,597,593,217.98/103,489
  6. Step 6: Final answer
    x = 44,425.91

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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.