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Finding the Fourth Proportional to 139,716.52, 209,576.75 and 39,876.73

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Solution

The fourth proportional to 139,716.52, 209,576.75 and 39,876.73 is: 59,815.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,716.52 : 209,576.75 = 39,876.73 : x
  2. Step 2: Convert to fraction form
    139,716.52/209,576.75 = 39,876.73/x
  3. Step 3: Cross multiply
    139,716.52x = 209,576.75 × 39,876.73
  4. Step 4: Simplify right side
    139,716.52x = 8,357,235,474.03
  5. Step 5: Solve for x
    x = 8,357,235,474.03/139,716.52
  6. Step 6: Final answer
    x = 59,815.66

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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.