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Finding the Fourth Proportional to 126,503.51, 189,786.42 and 89,136.57

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Solution

The fourth proportional to 126,503.51, 189,786.42 and 89,136.57 is: 133,726.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,503.51 : 189,786.42 = 89,136.57 : x
  2. Step 2: Convert to fraction form
    126,503.51/189,786.42 = 89,136.57/x
  3. Step 3: Cross multiply
    126,503.51x = 189,786.42 × 89,136.57
  4. Step 4: Simplify right side
    126,503.51x = 16,916,910,511.38
  5. Step 5: Solve for x
    x = 16,916,910,511.38/126,503.51
  6. Step 6: Final answer
    x = 133,726.80

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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.