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Finding the Fourth Proportional to 83,406.34, 125,125.85 and 27,231.37

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Solution

The fourth proportional to 83,406.34, 125,125.85 and 27,231.37 is: 40,852.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,406.34 : 125,125.85 = 27,231.37 : x
  2. Step 2: Convert to fraction form
    83,406.34/125,125.85 = 27,231.37/x
  3. Step 3: Cross multiply
    83,406.34x = 125,125.85 × 27,231.37
  4. Step 4: Simplify right side
    83,406.34x = 3,407,348,073.18
  5. Step 5: Solve for x
    x = 3,407,348,073.18/83,406.34
  6. Step 6: Final answer
    x = 40,852.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.