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Finding the Fourth Proportional to 135,820.80, 203,329.44 and 100,915.20

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Solution

The fourth proportional to 135,820.80, 203,329.44 and 100,915.20 is: 151,074.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,820.80 : 203,329.44 = 100,915.20 : x
  2. Step 2: Convert to fraction form
    135,820.80/203,329.44 = 100,915.20/x
  3. Step 3: Cross multiply
    135,820.80x = 203,329.44 × 100,915.20
  4. Step 4: Simplify right side
    135,820.80x = 20,519,031,103.49
  5. Step 5: Solve for x
    x = 20,519,031,103.49/135,820.80
  6. Step 6: Final answer
    x = 151,074.29

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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.