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Finding the Fourth Proportional to 77,185, 106,515.30 and 41,857

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Solution

The fourth proportional to 77,185, 106,515.30 and 41,857 is: 57,762.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,185 : 106,515.30 = 41,857 : x
  2. Step 2: Convert to fraction form
    77,185/106,515.30 = 41,857/x
  3. Step 3: Cross multiply
    77,185x = 106,515.30 × 41,857
  4. Step 4: Simplify right side
    77,185x = 4,458,410,912.10
  5. Step 5: Solve for x
    x = 4,458,410,912.10/77,185
  6. Step 6: Final answer
    x = 57,762.66

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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.