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Finding the Fourth Proportional to 77,660.34, 107,362.26 and 76,949.91

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Solution

The fourth proportional to 77,660.34, 107,362.26 and 76,949.91 is: 106,380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,660.34 : 107,362.26 = 76,949.91 : x
  2. Step 2: Convert to fraction form
    77,660.34/107,362.26 = 76,949.91/x
  3. Step 3: Cross multiply
    77,660.34x = 107,362.26 × 76,949.91
  4. Step 4: Simplify right side
    77,660.34x = 8,261,516,546.35
  5. Step 5: Solve for x
    x = 8,261,516,546.35/77,660.34
  6. Step 6: Final answer
    x = 106,380.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.