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Finding the Fourth Proportional to 125,906.40, 188,859.60 and 81,583.20

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Solution

The fourth proportional to 125,906.40, 188,859.60 and 81,583.20 is: 122,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,906.40 : 188,859.60 = 81,583.20 : x
  2. Step 2: Convert to fraction form
    125,906.40/188,859.60 = 81,583.20/x
  3. Step 3: Cross multiply
    125,906.40x = 188,859.60 × 81,583.20
  4. Step 4: Simplify right side
    125,906.40x = 15,407,770,518.72
  5. Step 5: Solve for x
    x = 15,407,770,518.72/125,906.40
  6. Step 6: Final answer
    x = 122,374.80

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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.