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Finding the Fourth Proportional to 126,354.45, 189,443.88 and 47,447.49

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Solution

The fourth proportional to 126,354.45, 189,443.88 and 47,447.49 is: 71,138.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,354.45 : 189,443.88 = 47,447.49 : x
  2. Step 2: Convert to fraction form
    126,354.45/189,443.88 = 47,447.49/x
  3. Step 3: Cross multiply
    126,354.45x = 189,443.88 × 47,447.49
  4. Step 4: Simplify right side
    126,354.45x = 8,988,636,601.86
  5. Step 5: Solve for x
    x = 8,988,636,601.86/126,354.45
  6. Step 6: Final answer
    x = 71,138.27

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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.