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Finding the Fourth Proportional to 51,214, 76,833.96 and 14,278

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Solution

The fourth proportional to 51,214, 76,833.96 and 14,278 is: 21,420.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,214 : 76,833.96 = 14,278 : x
  2. Step 2: Convert to fraction form
    51,214/76,833.96 = 14,278/x
  3. Step 3: Cross multiply
    51,214x = 76,833.96 × 14,278
  4. Step 4: Simplify right side
    51,214x = 1,097,035,280.88
  5. Step 5: Solve for x
    x = 1,097,035,280.88/51,214
  6. Step 6: Final answer
    x = 21,420.61

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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.