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Finding the Fourth Proportional to 76,903.92, 115,391.40 and 30,169.20

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Solution

The fourth proportional to 76,903.92, 115,391.40 and 30,169.20 is: 45,267.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,903.92 : 115,391.40 = 30,169.20 : x
  2. Step 2: Convert to fraction form
    76,903.92/115,391.40 = 30,169.20/x
  3. Step 3: Cross multiply
    76,903.92x = 115,391.40 × 30,169.20
  4. Step 4: Simplify right side
    76,903.92x = 3,481,266,224.88
  5. Step 5: Solve for x
    x = 3,481,266,224.88/76,903.92
  6. Step 6: Final answer
    x = 45,267.73

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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.