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Finding the Fourth Proportional to 70,851.28, 106,245.14 and 20,913.87

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Solution

The fourth proportional to 70,851.28, 106,245.14 and 20,913.87 is: 31,361.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,851.28 : 106,245.14 = 20,913.87 : x
  2. Step 2: Convert to fraction form
    70,851.28/106,245.14 = 20,913.87/x
  3. Step 3: Cross multiply
    70,851.28x = 106,245.14 × 20,913.87
  4. Step 4: Simplify right side
    70,851.28x = 2,221,997,217.59
  5. Step 5: Solve for x
    x = 2,221,997,217.59/70,851.28
  6. Step 6: Final answer
    x = 31,361.43

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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.