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Finding the Fourth Proportional to 126,389.97, 189,584.42 and 51,493.41

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Solution

The fourth proportional to 126,389.97, 189,584.42 and 51,493.41 is: 77,239.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,389.97 : 189,584.42 = 51,493.41 : x
  2. Step 2: Convert to fraction form
    126,389.97/189,584.42 = 51,493.41/x
  3. Step 3: Cross multiply
    126,389.97x = 189,584.42 × 51,493.41
  4. Step 4: Simplify right side
    126,389.97x = 9,762,348,011.21
  5. Step 5: Solve for x
    x = 9,762,348,011.21/126,389.97
  6. Step 6: Final answer
    x = 77,239.89

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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.