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Finding the Fourth Proportional to 51,222, 76,863.24 and 21,637.92

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Solution

The fourth proportional to 51,222, 76,863.24 and 21,637.92 is: 32,469.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,222 : 76,863.24 = 21,637.92 : x
  2. Step 2: Convert to fraction form
    51,222/76,863.24 = 21,637.92/x
  3. Step 3: Cross multiply
    51,222x = 76,863.24 × 21,637.92
  4. Step 4: Simplify right side
    51,222x = 1,663,160,638.06
  5. Step 5: Solve for x
    x = 1,663,160,638.06/51,222
  6. Step 6: Final answer
    x = 32,469.65

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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.