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Finding the Fourth Proportional to 77,106.36, 115,580.76 and 43,756

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Solution

The fourth proportional to 77,106.36, 115,580.76 and 43,756 is: 65,589.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,106.36 : 115,580.76 = 43,756 : x
  2. Step 2: Convert to fraction form
    77,106.36/115,580.76 = 43,756/x
  3. Step 3: Cross multiply
    77,106.36x = 115,580.76 × 43,756
  4. Step 4: Simplify right side
    77,106.36x = 5,057,351,734.56
  5. Step 5: Solve for x
    x = 5,057,351,734.56/77,106.36
  6. Step 6: Final answer
    x = 65,589.29

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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.