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Finding the Fourth Proportional to 76,660.70, 114,982.96 and 20,506.48

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Solution

The fourth proportional to 76,660.70, 114,982.96 and 20,506.48 is: 30,757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,660.70 : 114,982.96 = 20,506.48 : x
  2. Step 2: Convert to fraction form
    76,660.70/114,982.96 = 20,506.48/x
  3. Step 3: Cross multiply
    76,660.70x = 114,982.96 × 20,506.48
  4. Step 4: Simplify right side
    76,660.70x = 2,357,895,194.67
  5. Step 5: Solve for x
    x = 2,357,895,194.67/76,660.70
  6. Step 6: Final answer
    x = 30,757.55

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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.