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Finding the Fourth Proportional to 50,856, 76,284 and 19,691.25

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Solution

The fourth proportional to 50,856, 76,284 and 19,691.25 is: 29,536.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,856 : 76,284 = 19,691.25 : x
  2. Step 2: Convert to fraction form
    50,856/76,284 = 19,691.25/x
  3. Step 3: Cross multiply
    50,856x = 76,284 × 19,691.25
  4. Step 4: Simplify right side
    50,856x = 1,502,127,315
  5. Step 5: Solve for x
    x = 1,502,127,315/50,856
  6. Step 6: Final answer
    x = 29,536.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.