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Finding the Fourth Proportional to 51,165, 76,751.82 and 14,229

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Solution

The fourth proportional to 51,165, 76,751.82 and 14,229 is: 21,344.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,165 : 76,751.82 = 14,229 : x
  2. Step 2: Convert to fraction form
    51,165/76,751.82 = 14,229/x
  3. Step 3: Cross multiply
    51,165x = 76,751.82 × 14,229
  4. Step 4: Simplify right side
    51,165x = 1,092,101,646.78
  5. Step 5: Solve for x
    x = 1,092,101,646.78/51,165
  6. Step 6: Final answer
    x = 21,344.70

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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.