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Finding the Fourth Proportional to 138,049.60, 207,074.40 and 82,062.40

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Solution

The fourth proportional to 138,049.60, 207,074.40 and 82,062.40 is: 123,093.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,049.60 : 207,074.40 = 82,062.40 : x
  2. Step 2: Convert to fraction form
    138,049.60/207,074.40 = 82,062.40/x
  3. Step 3: Cross multiply
    138,049.60x = 207,074.40 × 82,062.40
  4. Step 4: Simplify right side
    138,049.60x = 16,993,022,242.56
  5. Step 5: Solve for x
    x = 16,993,022,242.56/138,049.60
  6. Step 6: Final answer
    x = 123,093.60

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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.