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Finding the Fourth Proportional to 126,348, 189,537.36 and 38,796

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Solution

The fourth proportional to 126,348, 189,537.36 and 38,796 is: 58,198.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,348 : 189,537.36 = 38,796 : x
  2. Step 2: Convert to fraction form
    126,348/189,537.36 = 38,796/x
  3. Step 3: Cross multiply
    126,348x = 189,537.36 × 38,796
  4. Step 4: Simplify right side
    126,348x = 7,353,291,418.56
  5. Step 5: Solve for x
    x = 7,353,291,418.56/126,348
  6. Step 6: Final answer
    x = 58,198.72

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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.