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Finding the Fourth Proportional to 76,980.20, 115,470.30 and 72,314.60

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Solution

The fourth proportional to 76,980.20, 115,470.30 and 72,314.60 is: 108,471.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,980.20 : 115,470.30 = 72,314.60 : x
  2. Step 2: Convert to fraction form
    76,980.20/115,470.30 = 72,314.60/x
  3. Step 3: Cross multiply
    76,980.20x = 115,470.30 × 72,314.60
  4. Step 4: Simplify right side
    76,980.20x = 8,350,188,556.38
  5. Step 5: Solve for x
    x = 8,350,188,556.38/76,980.20
  6. Step 6: Final answer
    x = 108,471.90

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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.