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Finding the Fourth Proportional to 126,574.45, 189,861.86 and 51,694.61

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Solution

The fourth proportional to 126,574.45, 189,861.86 and 51,694.61 is: 77,541.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,574.45 : 189,861.86 = 51,694.61 : x
  2. Step 2: Convert to fraction form
    126,574.45/189,861.86 = 51,694.61/x
  3. Step 3: Cross multiply
    126,574.45x = 189,861.86 × 51,694.61
  4. Step 4: Simplify right side
    126,574.45x = 9,814,834,073.45
  5. Step 5: Solve for x
    x = 9,814,834,073.45/126,574.45
  6. Step 6: Final answer
    x = 77,541.98

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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.