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Finding the Fourth Proportional to 51,273, 76,912.38 and 14,339.88

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Solution

The fourth proportional to 51,273, 76,912.38 and 14,339.88 is: 21,510.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,273 : 76,912.38 = 14,339.88 : x
  2. Step 2: Convert to fraction form
    51,273/76,912.38 = 14,339.88/x
  3. Step 3: Cross multiply
    51,273x = 76,912.38 × 14,339.88
  4. Step 4: Simplify right side
    51,273x = 1,102,914,299.71
  5. Step 5: Solve for x
    x = 1,102,914,299.71/51,273
  6. Step 6: Final answer
    x = 21,510.63

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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.