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Finding the Fourth Proportional to 76,951.70, 115,427.55 and 68,138.90

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Solution

The fourth proportional to 76,951.70, 115,427.55 and 68,138.90 is: 102,208.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,951.70 : 115,427.55 = 68,138.90 : x
  2. Step 2: Convert to fraction form
    76,951.70/115,427.55 = 68,138.90/x
  3. Step 3: Cross multiply
    76,951.70x = 115,427.55 × 68,138.90
  4. Step 4: Simplify right side
    76,951.70x = 7,865,106,286.70
  5. Step 5: Solve for x
    x = 7,865,106,286.70/76,951.70
  6. Step 6: Final answer
    x = 102,208.35

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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.