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Finding the Fourth Proportional to 70,729.74, 106,079.76 and 20,796.48

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Solution

The fourth proportional to 70,729.74, 106,079.76 and 20,796.48 is: 31,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,729.74 : 106,079.76 = 20,796.48 : x
  2. Step 2: Convert to fraction form
    70,729.74/106,079.76 = 20,796.48/x
  3. Step 3: Cross multiply
    70,729.74x = 106,079.76 × 20,796.48
  4. Step 4: Simplify right side
    70,729.74x = 2,206,085,607.24
  5. Step 5: Solve for x
    x = 2,206,085,607.24/70,729.74
  6. Step 6: Final answer
    x = 31,190.35

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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.