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Finding the Fourth Proportional to 132,638.74, 198,982.72 and 43,893

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Solution

The fourth proportional to 132,638.74, 198,982.72 and 43,893 is: 65,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,638.74 : 198,982.72 = 43,893 : x
  2. Step 2: Convert to fraction form
    132,638.74/198,982.72 = 43,893/x
  3. Step 3: Cross multiply
    132,638.74x = 198,982.72 × 43,893
  4. Step 4: Simplify right side
    132,638.74x = 8,733,948,528.96
  5. Step 5: Solve for x
    x = 8,733,948,528.96/132,638.74
  6. Step 6: Final answer
    x = 65,847.64

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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.