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Finding the Fourth Proportional to 51,106, 76,659 and 14,170

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Solution

The fourth proportional to 51,106, 76,659 and 14,170 is: 21,255

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,106 : 76,659 = 14,170 : x
  2. Step 2: Convert to fraction form
    51,106/76,659 = 14,170/x
  3. Step 3: Cross multiply
    51,106x = 76,659 × 14,170
  4. Step 4: Simplify right side
    51,106x = 1,086,258,030
  5. Step 5: Solve for x
    x = 1,086,258,030/51,106
  6. Step 6: Final answer
    x = 21,255

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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.