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Finding the Fourth Proportional to 77,278.70, 115,808.70 and 67,874.60

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Solution

The fourth proportional to 77,278.70, 115,808.70 and 67,874.60 is: 101,715.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,278.70 : 115,808.70 = 67,874.60 : x
  2. Step 2: Convert to fraction form
    77,278.70/115,808.70 = 67,874.60/x
  3. Step 3: Cross multiply
    77,278.70x = 115,808.70 × 67,874.60
  4. Step 4: Simplify right side
    77,278.70x = 7,860,469,189.02
  5. Step 5: Solve for x
    x = 7,860,469,189.02/77,278.70
  6. Step 6: Final answer
    x = 101,715.86

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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.