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Finding the Fourth Proportional to 138,858.48, 208,147.47 and 54,677.73

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Solution

The fourth proportional to 138,858.48, 208,147.47 and 54,677.73 is: 81,961.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,858.48 : 208,147.47 = 54,677.73 : x
  2. Step 2: Convert to fraction form
    138,858.48/208,147.47 = 54,677.73/x
  3. Step 3: Cross multiply
    138,858.48x = 208,147.47 × 54,677.73
  4. Step 4: Simplify right side
    138,858.48x = 11,381,031,164.84
  5. Step 5: Solve for x
    x = 11,381,031,164.84/138,858.48
  6. Step 6: Final answer
    x = 81,961.37

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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.