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Finding the Fourth Proportional to 139,027.38, 208,509.06 and 82,883.30

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Solution

The fourth proportional to 139,027.38, 208,509.06 and 82,883.30 is: 124,305.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,027.38 : 208,509.06 = 82,883.30 : x
  2. Step 2: Convert to fraction form
    139,027.38/208,509.06 = 82,883.30/x
  3. Step 3: Cross multiply
    139,027.38x = 208,509.06 × 82,883.30
  4. Step 4: Simplify right side
    139,027.38x = 17,281,918,972.70
  5. Step 5: Solve for x
    x = 17,281,918,972.70/139,027.38
  6. Step 6: Final answer
    x = 124,305.87

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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.