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Finding the Fourth Proportional to 51,495.75, 77,244.09 and 20,331

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Solution

The fourth proportional to 51,495.75, 77,244.09 and 20,331 is: 30,496.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,495.75 : 77,244.09 = 20,331 : x
  2. Step 2: Convert to fraction form
    51,495.75/77,244.09 = 20,331/x
  3. Step 3: Cross multiply
    51,495.75x = 77,244.09 × 20,331
  4. Step 4: Simplify right side
    51,495.75x = 1,570,449,593.79
  5. Step 5: Solve for x
    x = 1,570,449,593.79/51,495.75
  6. Step 6: Final answer
    x = 30,496.68

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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.