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Finding the Fourth Proportional to 189,393.64, 261,377.97 and 108,849.26

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Solution

The fourth proportional to 189,393.64, 261,377.97 and 108,849.26 is: 150,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,393.64 : 261,377.97 = 108,849.26 : x
  2. Step 2: Convert to fraction form
    189,393.64/261,377.97 = 108,849.26/x
  3. Step 3: Cross multiply
    189,393.64x = 261,377.97 × 108,849.26
  4. Step 4: Simplify right side
    189,393.64x = 28,450,798,614.80
  5. Step 5: Solve for x
    x = 28,450,798,614.80/189,393.64
  6. Step 6: Final answer
    x = 150,220.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.