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Finding the Fourth Proportional to 86,414.22, 129,639.42 and 36,494.46

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Solution

The fourth proportional to 86,414.22, 129,639.42 and 36,494.46 is: 54,749.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,414.22 : 129,639.42 = 36,494.46 : x
  2. Step 2: Convert to fraction form
    86,414.22/129,639.42 = 36,494.46/x
  3. Step 3: Cross multiply
    86,414.22x = 129,639.42 × 36,494.46
  4. Step 4: Simplify right side
    86,414.22x = 4,731,120,627.61
  5. Step 5: Solve for x
    x = 4,731,120,627.61/86,414.22
  6. Step 6: Final answer
    x = 54,749.33

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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.