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Finding the Fourth Proportional to 77,161.60, 115,936.80 and 49,095.10

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Solution

The fourth proportional to 77,161.60, 115,936.80 and 49,095.10 is: 73,766.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,161.60 : 115,936.80 = 49,095.10 : x
  2. Step 2: Convert to fraction form
    77,161.60/115,936.80 = 49,095.10/x
  3. Step 3: Cross multiply
    77,161.60x = 115,936.80 × 49,095.10
  4. Step 4: Simplify right side
    77,161.60x = 5,691,928,789.68
  5. Step 5: Solve for x
    x = 5,691,928,789.68/77,161.60
  6. Step 6: Final answer
    x = 73,766.34

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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.