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Finding the Fourth Proportional to 50,228, 69,316.80 and 27,872

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Solution

The fourth proportional to 50,228, 69,316.80 and 27,872 is: 38,464.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,228 : 69,316.80 = 27,872 : x
  2. Step 2: Convert to fraction form
    50,228/69,316.80 = 27,872/x
  3. Step 3: Cross multiply
    50,228x = 69,316.80 × 27,872
  4. Step 4: Simplify right side
    50,228x = 1,931,997,849.60
  5. Step 5: Solve for x
    x = 1,931,997,849.60/50,228
  6. Step 6: Final answer
    x = 38,464.56

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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.