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Finding the Fourth Proportional to 138,838.41, 208,257.62 and 33,657.38

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Solution

The fourth proportional to 138,838.41, 208,257.62 and 33,657.38 is: 50,486.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,838.41 : 208,257.62 = 33,657.38 : x
  2. Step 2: Convert to fraction form
    138,838.41/208,257.62 = 33,657.38/x
  3. Step 3: Cross multiply
    138,838.41x = 208,257.62 × 33,657.38
  4. Step 4: Simplify right side
    138,838.41x = 7,009,404,644.66
  5. Step 5: Solve for x
    x = 7,009,404,644.66/138,838.41
  6. Step 6: Final answer
    x = 50,486.06

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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.