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Finding the Fourth Proportional to 138,022.56, 207,077.60 and 49,274.16

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Solution

The fourth proportional to 138,022.56, 207,077.60 and 49,274.16 is: 73,926.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,022.56 : 207,077.60 = 49,274.16 : x
  2. Step 2: Convert to fraction form
    138,022.56/207,077.60 = 49,274.16/x
  3. Step 3: Cross multiply
    138,022.56x = 207,077.60 × 49,274.16
  4. Step 4: Simplify right side
    138,022.56x = 10,203,574,794.82
  5. Step 5: Solve for x
    x = 10,203,574,794.82/138,022.56
  6. Step 6: Final answer
    x = 73,926.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.