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Finding the Fourth Proportional to 70,493.28, 105,742.56 and 26,131.20

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Solution

The fourth proportional to 70,493.28, 105,742.56 and 26,131.20 is: 39,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,493.28 : 105,742.56 = 26,131.20 : x
  2. Step 2: Convert to fraction form
    70,493.28/105,742.56 = 26,131.20/x
  3. Step 3: Cross multiply
    70,493.28x = 105,742.56 × 26,131.20
  4. Step 4: Simplify right side
    70,493.28x = 2,763,179,983.87
  5. Step 5: Solve for x
    x = 2,763,179,983.87/70,493.28
  6. Step 6: Final answer
    x = 39,197.78

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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.