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Finding the Fourth Proportional to 76,675.20, 115,207.20 and 68,121.60

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Solution

The fourth proportional to 76,675.20, 115,207.20 and 68,121.60 is: 102,355.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,675.20 : 115,207.20 = 68,121.60 : x
  2. Step 2: Convert to fraction form
    76,675.20/115,207.20 = 68,121.60/x
  3. Step 3: Cross multiply
    76,675.20x = 115,207.20 × 68,121.60
  4. Step 4: Simplify right side
    76,675.20x = 7,848,098,795.52
  5. Step 5: Solve for x
    x = 7,848,098,795.52/76,675.20
  6. Step 6: Final answer
    x = 102,355.11

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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.