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Finding the Fourth Proportional to 51,238, 70,708.44 and 27,686

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Solution

The fourth proportional to 51,238, 70,708.44 and 27,686 is: 38,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,238 : 70,708.44 = 27,686 : x
  2. Step 2: Convert to fraction form
    51,238/70,708.44 = 27,686/x
  3. Step 3: Cross multiply
    51,238x = 70,708.44 × 27,686
  4. Step 4: Simplify right side
    51,238x = 1,957,633,869.84
  5. Step 5: Solve for x
    x = 1,957,633,869.84/51,238
  6. Step 6: Final answer
    x = 38,206.68

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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.