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Finding the Fourth Proportional to 275,102.52, 412,655.16 and 125,238

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Solution

The fourth proportional to 275,102.52, 412,655.16 and 125,238 is: 187,857.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,102.52 : 412,655.16 = 125,238 : x
  2. Step 2: Convert to fraction form
    275,102.52/412,655.16 = 125,238/x
  3. Step 3: Cross multiply
    275,102.52x = 412,655.16 × 125,238
  4. Step 4: Simplify right side
    275,102.52x = 51,680,106,928.08
  5. Step 5: Solve for x
    x = 51,680,106,928.08/275,102.52
  6. Step 6: Final answer
    x = 187,857.63

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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.