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Finding the Fourth Proportional to 138,380.42, 207,570.83 and 38,540.90

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Solution

The fourth proportional to 138,380.42, 207,570.83 and 38,540.90 is: 57,811.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,380.42 : 207,570.83 = 38,540.90 : x
  2. Step 2: Convert to fraction form
    138,380.42/207,570.83 = 38,540.90/x
  3. Step 3: Cross multiply
    138,380.42x = 207,570.83 × 38,540.90
  4. Step 4: Simplify right side
    138,380.42x = 7,999,965,371.39
  5. Step 5: Solve for x
    x = 7,999,965,371.39/138,380.42
  6. Step 6: Final answer
    x = 57,811.40

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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.