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Finding the Fourth Proportional to 51,319, 76,982.82 and 14,383

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Solution

The fourth proportional to 51,319, 76,982.82 and 14,383 is: 21,575.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,319 : 76,982.82 = 14,383 : x
  2. Step 2: Convert to fraction form
    51,319/76,982.82 = 14,383/x
  3. Step 3: Cross multiply
    51,319x = 76,982.82 × 14,383
  4. Step 4: Simplify right side
    51,319x = 1,107,243,900.06
  5. Step 5: Solve for x
    x = 1,107,243,900.06/51,319
  6. Step 6: Final answer
    x = 21,575.71

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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.