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Finding the Fourth Proportional to 126,044.70, 189,139.95 and 47,166.90

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Solution

The fourth proportional to 126,044.70, 189,139.95 and 47,166.90 is: 70,777.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,044.70 : 189,139.95 = 47,166.90 : x
  2. Step 2: Convert to fraction form
    126,044.70/189,139.95 = 47,166.90/x
  3. Step 3: Cross multiply
    126,044.70x = 189,139.95 × 47,166.90
  4. Step 4: Simplify right side
    126,044.70x = 8,921,145,107.66
  5. Step 5: Solve for x
    x = 8,921,145,107.66/126,044.70
  6. Step 6: Final answer
    x = 70,777.63

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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.