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Finding the Fourth Proportional to 100,239.84, 138,331.02 and 54,919.48

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Solution

The fourth proportional to 100,239.84, 138,331.02 and 54,919.48 is: 75,788.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,239.84 : 138,331.02 = 54,919.48 : x
  2. Step 2: Convert to fraction form
    100,239.84/138,331.02 = 54,919.48/x
  3. Step 3: Cross multiply
    100,239.84x = 138,331.02 × 54,919.48
  4. Step 4: Simplify right side
    100,239.84x = 7,597,067,686.27
  5. Step 5: Solve for x
    x = 7,597,067,686.27/100,239.84
  6. Step 6: Final answer
    x = 75,788.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.