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Finding the Fourth Proportional to 50,500, 69,691.44 and 28,145.44

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Solution

The fourth proportional to 50,500, 69,691.44 and 28,145.44 is: 38,841.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,500 : 69,691.44 = 28,145.44 : x
  2. Step 2: Convert to fraction form
    50,500/69,691.44 = 28,145.44/x
  3. Step 3: Cross multiply
    50,500x = 69,691.44 × 28,145.44
  4. Step 4: Simplify right side
    50,500x = 1,961,496,243.03
  5. Step 5: Solve for x
    x = 1,961,496,243.03/50,500
  6. Step 6: Final answer
    x = 38,841.51

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1.5x scale

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.