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Finding the Fourth Proportional to 78,471.76, 117,759.46 and 36,922

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Solution

The fourth proportional to 78,471.76, 117,759.46 and 36,922 is: 55,407.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,471.76 : 117,759.46 = 36,922 : x
  2. Step 2: Convert to fraction form
    78,471.76/117,759.46 = 36,922/x
  3. Step 3: Cross multiply
    78,471.76x = 117,759.46 × 36,922
  4. Step 4: Simplify right side
    78,471.76x = 4,347,914,782.12
  5. Step 5: Solve for x
    x = 4,347,914,782.12/78,471.76
  6. Step 6: Final answer
    x = 55,407.38

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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.