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Finding the Fourth Proportional to 78,361.14, 117,516.78 and 25,758.48

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Solution

The fourth proportional to 78,361.14, 117,516.78 and 25,758.48 is: 38,629.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,361.14 : 117,516.78 = 25,758.48 : x
  2. Step 2: Convert to fraction form
    78,361.14/117,516.78 = 25,758.48/x
  3. Step 3: Cross multiply
    78,361.14x = 117,516.78 × 25,758.48
  4. Step 4: Simplify right side
    78,361.14x = 3,027,053,627.29
  5. Step 5: Solve for x
    x = 3,027,053,627.29/78,361.14
  6. Step 6: Final answer
    x = 38,629.53

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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.