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Finding the Fourth Proportional to 137,847.62, 206,785.81 and 38,007.83

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Solution

The fourth proportional to 137,847.62, 206,785.81 and 38,007.83 is: 57,015.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,847.62 : 206,785.81 = 38,007.83 : x
  2. Step 2: Convert to fraction form
    137,847.62/206,785.81 = 38,007.83/x
  3. Step 3: Cross multiply
    137,847.62x = 206,785.81 × 38,007.83
  4. Step 4: Simplify right side
    137,847.62x = 7,859,480,477.37
  5. Step 5: Solve for x
    x = 7,859,480,477.37/137,847.62
  6. Step 6: Final answer
    x = 57,015.71

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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.