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Finding the Fourth Proportional to 138,944.41, 208,695.60 and 82,893.87

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Solution

The fourth proportional to 138,944.41, 208,695.60 and 82,893.87 is: 124,507.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,944.41 : 208,695.60 = 82,893.87 : x
  2. Step 2: Convert to fraction form
    138,944.41/208,695.60 = 82,893.87/x
  3. Step 3: Cross multiply
    138,944.41x = 208,695.60 × 82,893.87
  4. Step 4: Simplify right side
    138,944.41x = 17,299,585,935.97
  5. Step 5: Solve for x
    x = 17,299,585,935.97/138,944.41
  6. Step 6: Final answer
    x = 124,507.25

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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.