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Finding the Fourth Proportional to 50,156, 69,217.80 and 27,800

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Solution

The fourth proportional to 50,156, 69,217.80 and 27,800 is: 38,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,156 : 69,217.80 = 27,800 : x
  2. Step 2: Convert to fraction form
    50,156/69,217.80 = 27,800/x
  3. Step 3: Cross multiply
    50,156x = 69,217.80 × 27,800
  4. Step 4: Simplify right side
    50,156x = 1,924,254,840
  5. Step 5: Solve for x
    x = 1,924,254,840/50,156
  6. Step 6: Final answer
    x = 38,365.40

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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.