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Finding the Fourth Proportional to 139,749.82, 209,359.96 and 82,652.92

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Solution

The fourth proportional to 139,749.82, 209,359.96 and 82,652.92 is: 123,822.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,749.82 : 209,359.96 = 82,652.92 : x
  2. Step 2: Convert to fraction form
    139,749.82/209,359.96 = 82,652.92/x
  3. Step 3: Cross multiply
    139,749.82x = 209,359.96 × 82,652.92
  4. Step 4: Simplify right side
    139,749.82x = 17,304,211,295.05
  5. Step 5: Solve for x
    x = 17,304,211,295.05/139,749.82
  6. Step 6: Final answer
    x = 123,822.78

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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.