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Finding the Fourth Proportional to 76,982.80, 115,512.60 and 43,728.40

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Solution

The fourth proportional to 76,982.80, 115,512.60 and 43,728.40 is: 65,614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,982.80 : 115,512.60 = 43,728.40 : x
  2. Step 2: Convert to fraction form
    76,982.80/115,512.60 = 43,728.40/x
  3. Step 3: Cross multiply
    76,982.80x = 115,512.60 × 43,728.40
  4. Step 4: Simplify right side
    76,982.80x = 5,051,181,177.84
  5. Step 5: Solve for x
    x = 5,051,181,177.84/76,982.80
  6. Step 6: Final answer
    x = 65,614.41

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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.