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Finding the Fourth Proportional to 137,296.54, 189,447.21 and 76,869.70

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Solution

The fourth proportional to 137,296.54, 189,447.21 and 76,869.70 is: 106,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,296.54 : 189,447.21 = 76,869.70 : x
  2. Step 2: Convert to fraction form
    137,296.54/189,447.21 = 76,869.70/x
  3. Step 3: Cross multiply
    137,296.54x = 189,447.21 × 76,869.70
  4. Step 4: Simplify right side
    137,296.54x = 14,562,750,198.54
  5. Step 5: Solve for x
    x = 14,562,750,198.54/137,296.54
  6. Step 6: Final answer
    x = 106,067.86

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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.