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Finding the Fourth Proportional to 220,704.12, 330,978.33 and 70,893.81

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Solution

The fourth proportional to 220,704.12, 330,978.33 and 70,893.81 is: 106,315.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,704.12 : 330,978.33 = 70,893.81 : x
  2. Step 2: Convert to fraction form
    220,704.12/330,978.33 = 70,893.81/x
  3. Step 3: Cross multiply
    220,704.12x = 330,978.33 × 70,893.81
  4. Step 4: Simplify right side
    220,704.12x = 23,464,314,841.14
  5. Step 5: Solve for x
    x = 23,464,314,841.14/220,704.12
  6. Step 6: Final answer
    x = 106,315.71

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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.