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Finding the Fourth Proportional to 361,938.81, 542,912.39 and 109,221.49

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Solution

The fourth proportional to 361,938.81, 542,912.39 and 109,221.49 is: 163,833.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,938.81 : 542,912.39 = 109,221.49 : x
  2. Step 2: Convert to fraction form
    361,938.81/542,912.39 = 109,221.49/x
  3. Step 3: Cross multiply
    361,938.81x = 542,912.39 × 109,221.49
  4. Step 4: Simplify right side
    361,938.81x = 59,297,700,175.26
  5. Step 5: Solve for x
    x = 59,297,700,175.26/361,938.81
  6. Step 6: Final answer
    x = 163,833.49

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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.