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Finding the Fourth Proportional to 50,613, 69,846 and 28,257

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Solution

The fourth proportional to 50,613, 69,846 and 28,257 is: 38,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,613 : 69,846 = 28,257 : x
  2. Step 2: Convert to fraction form
    50,613/69,846 = 28,257/x
  3. Step 3: Cross multiply
    50,613x = 69,846 × 28,257
  4. Step 4: Simplify right side
    50,613x = 1,973,638,422
  5. Step 5: Solve for x
    x = 1,973,638,422/50,613
  6. Step 6: Final answer
    x = 38,994.69

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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.