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Finding the Fourth Proportional to 76,660.64, 114,982.87 and 20,506.41

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Solution

The fourth proportional to 76,660.64, 114,982.87 and 20,506.41 is: 30,757.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,660.64 : 114,982.87 = 20,506.41 : x
  2. Step 2: Convert to fraction form
    76,660.64/114,982.87 = 20,506.41/x
  3. Step 3: Cross multiply
    76,660.64x = 114,982.87 × 20,506.41
  4. Step 4: Simplify right side
    76,660.64x = 2,357,886,255.12
  5. Step 5: Solve for x
    x = 2,357,886,255.12/76,660.64
  6. Step 6: Final answer
    x = 30,757.46

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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.