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Finding the Fourth Proportional to 51,228.78, 76,843.20 and 14,292.78

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Solution

The fourth proportional to 51,228.78, 76,843.20 and 14,292.78 is: 21,439.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,228.78 : 76,843.20 = 14,292.78 : x
  2. Step 2: Convert to fraction form
    51,228.78/76,843.20 = 14,292.78/x
  3. Step 3: Cross multiply
    51,228.78x = 76,843.20 × 14,292.78
  4. Step 4: Simplify right side
    51,228.78x = 1,098,302,952.10
  5. Step 5: Solve for x
    x = 1,098,302,952.10/51,228.78
  6. Step 6: Final answer
    x = 21,439.18

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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.