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Finding the Fourth Proportional to 51,512.60, 77,277.60 and 15,965.76

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Solution

The fourth proportional to 51,512.60, 77,277.60 and 15,965.76 is: 23,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,512.60 : 77,277.60 = 15,965.76 : x
  2. Step 2: Convert to fraction form
    51,512.60/77,277.60 = 15,965.76/x
  3. Step 3: Cross multiply
    51,512.60x = 77,277.60 × 15,965.76
  4. Step 4: Simplify right side
    51,512.60x = 1,233,795,614.98
  5. Step 5: Solve for x
    x = 1,233,795,614.98/51,512.60
  6. Step 6: Final answer
    x = 23,951.34

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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.