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Finding the Fourth Proportional to 51,600, 77,400.96 and 14,664.96

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Solution

The fourth proportional to 51,600, 77,400.96 and 14,664.96 is: 21,997.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,600 : 77,400.96 = 14,664.96 : x
  2. Step 2: Convert to fraction form
    51,600/77,400.96 = 14,664.96/x
  3. Step 3: Cross multiply
    51,600x = 77,400.96 × 14,664.96
  4. Step 4: Simplify right side
    51,600x = 1,135,081,982.36
  5. Step 5: Solve for x
    x = 1,135,081,982.36/51,600
  6. Step 6: Final answer
    x = 21,997.71

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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.