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Finding the Fourth Proportional to 136,761.12, 188,739.86 and 76,343.56

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Solution

The fourth proportional to 136,761.12, 188,739.86 and 76,343.56 is: 105,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,761.12 : 188,739.86 = 76,343.56 : x
  2. Step 2: Convert to fraction form
    136,761.12/188,739.86 = 76,343.56/x
  3. Step 3: Cross multiply
    136,761.12x = 188,739.86 × 76,343.56
  4. Step 4: Simplify right side
    136,761.12x = 14,409,071,972.73
  5. Step 5: Solve for x
    x = 14,409,071,972.73/136,761.12
  6. Step 6: Final answer
    x = 105,359.42

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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.