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Finding the Fourth Proportional to 51,249, 70,723.62 and 27,697

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Solution

The fourth proportional to 51,249, 70,723.62 and 27,697 is: 38,221.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,249 : 70,723.62 = 27,697 : x
  2. Step 2: Convert to fraction form
    51,249/70,723.62 = 27,697/x
  3. Step 3: Cross multiply
    51,249x = 70,723.62 × 27,697
  4. Step 4: Simplify right side
    51,249x = 1,958,832,103.14
  5. Step 5: Solve for x
    x = 1,958,832,103.14/51,249
  6. Step 6: Final answer
    x = 38,221.86

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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.