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Finding the Fourth Proportional to 50,380, 69,524.40 and 28,024

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Solution

The fourth proportional to 50,380, 69,524.40 and 28,024 is: 38,673.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,380 : 69,524.40 = 28,024 : x
  2. Step 2: Convert to fraction form
    50,380/69,524.40 = 28,024/x
  3. Step 3: Cross multiply
    50,380x = 69,524.40 × 28,024
  4. Step 4: Simplify right side
    50,380x = 1,948,351,785.60
  5. Step 5: Solve for x
    x = 1,948,351,785.60/50,380
  6. Step 6: Final answer
    x = 38,673.12

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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.