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Finding the Fourth Proportional to 135,122.88, 202,684.80 and 79,680

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Solution

The fourth proportional to 135,122.88, 202,684.80 and 79,680 is: 119,520.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,122.88 : 202,684.80 = 79,680 : x
  2. Step 2: Convert to fraction form
    135,122.88/202,684.80 = 79,680/x
  3. Step 3: Cross multiply
    135,122.88x = 202,684.80 × 79,680
  4. Step 4: Simplify right side
    135,122.88x = 16,149,924,864
  5. Step 5: Solve for x
    x = 16,149,924,864/135,122.88
  6. Step 6: Final answer
    x = 119,520.28

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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.