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Finding the Fourth Proportional to 139,537.80, 208,869.30 and 100,171.80

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Solution

The fourth proportional to 139,537.80, 208,869.30 and 100,171.80 is: 149,943.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,537.80 : 208,869.30 = 100,171.80 : x
  2. Step 2: Convert to fraction form
    139,537.80/208,869.30 = 100,171.80/x
  3. Step 3: Cross multiply
    139,537.80x = 208,869.30 × 100,171.80
  4. Step 4: Simplify right side
    139,537.80x = 20,922,813,745.74
  5. Step 5: Solve for x
    x = 20,922,813,745.74/139,537.80
  6. Step 6: Final answer
    x = 149,943.70

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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.