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Finding the Fourth Proportional to 51,210, 76,815.84 and 14,274

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Solution

The fourth proportional to 51,210, 76,815.84 and 14,274 is: 21,411.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,210 : 76,815.84 = 14,274 : x
  2. Step 2: Convert to fraction form
    51,210/76,815.84 = 14,274/x
  3. Step 3: Cross multiply
    51,210x = 76,815.84 × 14,274
  4. Step 4: Simplify right side
    51,210x = 1,096,469,300.16
  5. Step 5: Solve for x
    x = 1,096,469,300.16/51,210
  6. Step 6: Final answer
    x = 21,411.23

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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.