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Finding the Fourth Proportional to 138,754.22, 207,994.44 and 54,461.58

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Solution

The fourth proportional to 138,754.22, 207,994.44 and 54,461.58 is: 81,638.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,754.22 : 207,994.44 = 54,461.58 : x
  2. Step 2: Convert to fraction form
    138,754.22/207,994.44 = 54,461.58/x
  3. Step 3: Cross multiply
    138,754.22x = 207,994.44 × 54,461.58
  4. Step 4: Simplify right side
    138,754.22x = 11,327,705,833.62
  5. Step 5: Solve for x
    x = 11,327,705,833.62/138,754.22
  6. Step 6: Final answer
    x = 81,638.64

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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.