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Finding the Fourth Proportional to 70,928.70, 106,408.62 and 21,012.72

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Solution

The fourth proportional to 70,928.70, 106,408.62 and 21,012.72 is: 31,523.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,928.70 : 106,408.62 = 21,012.72 : x
  2. Step 2: Convert to fraction form
    70,928.70/106,408.62 = 21,012.72/x
  3. Step 3: Cross multiply
    70,928.70x = 106,408.62 × 21,012.72
  4. Step 4: Simplify right side
    70,928.70x = 2,235,934,537.65
  5. Step 5: Solve for x
    x = 2,235,934,537.65/70,928.70
  6. Step 6: Final answer
    x = 31,523.69

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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.