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Finding the Fourth Proportional to 76,800.60, 115,200.90 and 68,052.60

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Solution

The fourth proportional to 76,800.60, 115,200.90 and 68,052.60 is: 102,078.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,800.60 : 115,200.90 = 68,052.60 : x
  2. Step 2: Convert to fraction form
    76,800.60/115,200.90 = 68,052.60/x
  3. Step 3: Cross multiply
    76,800.60x = 115,200.90 × 68,052.60
  4. Step 4: Simplify right side
    76,800.60x = 7,839,720,767.34
  5. Step 5: Solve for x
    x = 7,839,720,767.34/76,800.60
  6. Step 6: Final answer
    x = 102,078.90

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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.