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Finding the Fourth Proportional to 70,576.92, 105,881.85 and 20,657.84

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Solution

The fourth proportional to 70,576.92, 105,881.85 and 20,657.84 is: 30,991.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,576.92 : 105,881.85 = 20,657.84 : x
  2. Step 2: Convert to fraction form
    70,576.92/105,881.85 = 20,657.84/x
  3. Step 3: Cross multiply
    70,576.92x = 105,881.85 × 20,657.84
  4. Step 4: Simplify right side
    70,576.92x = 2,187,289,786.79
  5. Step 5: Solve for x
    x = 2,187,289,786.79/70,576.92
  6. Step 6: Final answer
    x = 30,991.57

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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.