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Finding the Fourth Proportional to 139,043.46, 208,485.96 and 54,757.98

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Solution

The fourth proportional to 139,043.46, 208,485.96 and 54,757.98 is: 82,105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,043.46 : 208,485.96 = 54,757.98 : x
  2. Step 2: Convert to fraction form
    139,043.46/208,485.96 = 54,757.98/x
  3. Step 3: Cross multiply
    139,043.46x = 208,485.96 × 54,757.98
  4. Step 4: Simplify right side
    139,043.46x = 11,416,270,027.96
  5. Step 5: Solve for x
    x = 11,416,270,027.96/139,043.46
  6. Step 6: Final answer
    x = 82,105.77

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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.