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Finding the Fourth Proportional to 138,229.74, 207,323.73 and 38,379.42

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Solution

The fourth proportional to 138,229.74, 207,323.73 and 38,379.42 is: 57,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,229.74 : 207,323.73 = 38,379.42 : x
  2. Step 2: Convert to fraction form
    138,229.74/207,323.73 = 38,379.42/x
  3. Step 3: Cross multiply
    138,229.74x = 207,323.73 × 38,379.42
  4. Step 4: Simplify right side
    138,229.74x = 7,956,964,509.64
  5. Step 5: Solve for x
    x = 7,956,964,509.64/138,229.74
  6. Step 6: Final answer
    x = 57,563.33

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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.