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Finding the Fourth Proportional to 138,635.78, 207,953.61 and 54,435.56

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Solution

The fourth proportional to 138,635.78, 207,953.61 and 54,435.56 is: 81,653.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,635.78 : 207,953.61 = 54,435.56 : x
  2. Step 2: Convert to fraction form
    138,635.78/207,953.61 = 54,435.56/x
  3. Step 3: Cross multiply
    138,635.78x = 207,953.61 × 54,435.56
  4. Step 4: Simplify right side
    138,635.78x = 11,320,070,174.60
  5. Step 5: Solve for x
    x = 11,320,070,174.60/138,635.78
  6. Step 6: Final answer
    x = 81,653.31

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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.