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Finding the Fourth Proportional to 70,412.73, 105,636.41 and 20,493.27

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Solution

The fourth proportional to 70,412.73, 105,636.41 and 20,493.27 is: 30,744.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,412.73 : 105,636.41 = 20,493.27 : x
  2. Step 2: Convert to fraction form
    70,412.73/105,636.41 = 20,493.27/x
  3. Step 3: Cross multiply
    70,412.73x = 105,636.41 × 20,493.27
  4. Step 4: Simplify right side
    70,412.73x = 2,164,835,369.49
  5. Step 5: Solve for x
    x = 2,164,835,369.49/70,412.73
  6. Step 6: Final answer
    x = 30,744.94

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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.