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Finding the Fourth Proportional to 70,112.75, 105,169.13 and 20,864.75

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Solution

The fourth proportional to 70,112.75, 105,169.13 and 20,864.75 is: 31,297.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,112.75 : 105,169.13 = 20,864.75 : x
  2. Step 2: Convert to fraction form
    70,112.75/105,169.13 = 20,864.75/x
  3. Step 3: Cross multiply
    70,112.75x = 105,169.13 × 20,864.75
  4. Step 4: Simplify right side
    70,112.75x = 2,194,327,500.84
  5. Step 5: Solve for x
    x = 2,194,327,500.84/70,112.75
  6. Step 6: Final answer
    x = 31,297.13

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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.