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Finding the Fourth Proportional to 77,765.70, 116,648.55 and 76,469.70

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Solution

The fourth proportional to 77,765.70, 116,648.55 and 76,469.70 is: 114,704.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,765.70 : 116,648.55 = 76,469.70 : x
  2. Step 2: Convert to fraction form
    77,765.70/116,648.55 = 76,469.70/x
  3. Step 3: Cross multiply
    77,765.70x = 116,648.55 × 76,469.70
  4. Step 4: Simplify right side
    77,765.70x = 8,920,079,623.94
  5. Step 5: Solve for x
    x = 8,920,079,623.94/77,765.70
  6. Step 6: Final answer
    x = 114,704.55

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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.