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Finding the Fourth Proportional to 76,679.40, 115,017.45 and 20,519.50

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Solution

The fourth proportional to 76,679.40, 115,017.45 and 20,519.50 is: 30,778.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,679.40 : 115,017.45 = 20,519.50 : x
  2. Step 2: Convert to fraction form
    76,679.40/115,017.45 = 20,519.50/x
  3. Step 3: Cross multiply
    76,679.40x = 115,017.45 × 20,519.50
  4. Step 4: Simplify right side
    76,679.40x = 2,360,100,565.28
  5. Step 5: Solve for x
    x = 2,360,100,565.28/76,679.40
  6. Step 6: Final answer
    x = 30,778.81

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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.