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Finding the Fourth Proportional to 77,342.34, 106,736.64 and 43,361.73

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Solution

The fourth proportional to 77,342.34, 106,736.64 and 43,361.73 is: 59,841.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,342.34 : 106,736.64 = 43,361.73 : x
  2. Step 2: Convert to fraction form
    77,342.34/106,736.64 = 43,361.73/x
  3. Step 3: Cross multiply
    77,342.34x = 106,736.64 × 43,361.73
  4. Step 4: Simplify right side
    77,342.34x = 4,628,285,202.18
  5. Step 5: Solve for x
    x = 4,628,285,202.18/77,342.34
  6. Step 6: Final answer
    x = 59,841.54

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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.