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Finding the Fourth Proportional to 139,226.16, 208,835.46 and 96,489.84

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Solution

The fourth proportional to 139,226.16, 208,835.46 and 96,489.84 is: 144,732.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,226.16 : 208,835.46 = 96,489.84 : x
  2. Step 2: Convert to fraction form
    139,226.16/208,835.46 = 96,489.84/x
  3. Step 3: Cross multiply
    139,226.16x = 208,835.46 × 96,489.84
  4. Step 4: Simplify right side
    139,226.16x = 20,150,500,121.73
  5. Step 5: Solve for x
    x = 20,150,500,121.73/139,226.16
  6. Step 6: Final answer
    x = 144,732.14

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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.