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Finding the Fourth Proportional to 126,574.70, 189,862.23 and 51,694.86

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Solution

The fourth proportional to 126,574.70, 189,862.23 and 51,694.86 is: 77,542.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,574.70 : 189,862.23 = 51,694.86 : x
  2. Step 2: Convert to fraction form
    126,574.70/189,862.23 = 51,694.86/x
  3. Step 3: Cross multiply
    126,574.70x = 189,862.23 × 51,694.86
  4. Step 4: Simplify right side
    126,574.70x = 9,814,901,399.14
  5. Step 5: Solve for x
    x = 9,814,901,399.14/126,574.70
  6. Step 6: Final answer
    x = 77,542.36

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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.