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Finding the Fourth Proportional to 70,493.50, 105,740.25 and 21,245.50

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Solution

The fourth proportional to 70,493.50, 105,740.25 and 21,245.50 is: 31,868.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,493.50 : 105,740.25 = 21,245.50 : x
  2. Step 2: Convert to fraction form
    70,493.50/105,740.25 = 21,245.50/x
  3. Step 3: Cross multiply
    70,493.50x = 105,740.25 × 21,245.50
  4. Step 4: Simplify right side
    70,493.50x = 2,246,504,481.38
  5. Step 5: Solve for x
    x = 2,246,504,481.38/70,493.50
  6. Step 6: Final answer
    x = 31,868.25

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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.