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Finding the Fourth Proportional to 76,049.44, 114,079.92 and 20,644

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Solution

The fourth proportional to 76,049.44, 114,079.92 and 20,644 is: 30,967.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,049.44 : 114,079.92 = 20,644 : x
  2. Step 2: Convert to fraction form
    76,049.44/114,079.92 = 20,644/x
  3. Step 3: Cross multiply
    76,049.44x = 114,079.92 × 20,644
  4. Step 4: Simplify right side
    76,049.44x = 2,355,065,868.48
  5. Step 5: Solve for x
    x = 2,355,065,868.48/76,049.44
  6. Step 6: Final answer
    x = 30,967.56

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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.