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Finding the Fourth Proportional to 123,772.70, 185,629.28 and 57,148.78

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Solution

The fourth proportional to 123,772.70, 185,629.28 and 57,148.78 is: 85,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,772.70 : 185,629.28 = 57,148.78 : x
  2. Step 2: Convert to fraction form
    123,772.70/185,629.28 = 57,148.78/x
  3. Step 3: Cross multiply
    123,772.70x = 185,629.28 × 57,148.78
  4. Step 4: Simplify right side
    123,772.70x = 10,608,486,884.28
  5. Step 5: Solve for x
    x = 10,608,486,884.28/123,772.70
  6. Step 6: Final answer
    x = 85,709.42

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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.