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Finding the Fourth Proportional to 126,138.52, 189,105.18 and 47,208.52

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Solution

The fourth proportional to 126,138.52, 189,105.18 and 47,208.52 is: 70,774.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,138.52 : 189,105.18 = 47,208.52 : x
  2. Step 2: Convert to fraction form
    126,138.52/189,105.18 = 47,208.52/x
  3. Step 3: Cross multiply
    126,138.52x = 189,105.18 × 47,208.52
  4. Step 4: Simplify right side
    126,138.52x = 8,927,375,672.13
  5. Step 5: Solve for x
    x = 8,927,375,672.13/126,138.52
  6. Step 6: Final answer
    x = 70,774.38

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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.