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Finding the Fourth Proportional to 129,019.78, 193,480.41 and 61,539.90

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Solution

The fourth proportional to 129,019.78, 193,480.41 and 61,539.90 is: 92,286.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,019.78 : 193,480.41 = 61,539.90 : x
  2. Step 2: Convert to fraction form
    129,019.78/193,480.41 = 61,539.90/x
  3. Step 3: Cross multiply
    129,019.78x = 193,480.41 × 61,539.90
  4. Step 4: Simplify right side
    129,019.78x = 11,906,765,083.36
  5. Step 5: Solve for x
    x = 11,906,765,083.36/129,019.78
  6. Step 6: Final answer
    x = 92,286.35

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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.