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Finding the Fourth Proportional to 51,126.72, 76,699.76 and 19,960

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Solution

The fourth proportional to 51,126.72, 76,699.76 and 19,960 is: 29,943.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,126.72 : 76,699.76 = 19,960 : x
  2. Step 2: Convert to fraction form
    51,126.72/76,699.76 = 19,960/x
  3. Step 3: Cross multiply
    51,126.72x = 76,699.76 × 19,960
  4. Step 4: Simplify right side
    51,126.72x = 1,530,927,209.60
  5. Step 5: Solve for x
    x = 1,530,927,209.60/51,126.72
  6. Step 6: Final answer
    x = 29,943.78

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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.