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Finding the Fourth Proportional to 126,046, 189,099.72 and 38,494

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Solution

The fourth proportional to 126,046, 189,099.72 and 38,494 is: 57,750.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,046 : 189,099.72 = 38,494 : x
  2. Step 2: Convert to fraction form
    126,046/189,099.72 = 38,494/x
  3. Step 3: Cross multiply
    126,046x = 189,099.72 × 38,494
  4. Step 4: Simplify right side
    126,046x = 7,279,204,621.68
  5. Step 5: Solve for x
    x = 7,279,204,621.68/126,046
  6. Step 6: Final answer
    x = 57,750.38

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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.