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Finding the Fourth Proportional to 83,424.62, 125,135.88 and 20,245.28

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Solution

The fourth proportional to 83,424.62, 125,135.88 and 20,245.28 is: 30,367.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,424.62 : 125,135.88 = 20,245.28 : x
  2. Step 2: Convert to fraction form
    83,424.62/125,135.88 = 20,245.28/x
  3. Step 3: Cross multiply
    83,424.62x = 125,135.88 × 20,245.28
  4. Step 4: Simplify right side
    83,424.62x = 2,533,410,928.65
  5. Step 5: Solve for x
    x = 2,533,410,928.65/83,424.62
  6. Step 6: Final answer
    x = 30,367.67

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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.