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Finding the Fourth Proportional to 51,813.66, 77,720.50 and 18,531.73

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Solution

The fourth proportional to 51,813.66, 77,720.50 and 18,531.73 is: 27,797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,813.66 : 77,720.50 = 18,531.73 : x
  2. Step 2: Convert to fraction form
    51,813.66/77,720.50 = 18,531.73/x
  3. Step 3: Cross multiply
    51,813.66x = 77,720.50 × 18,531.73
  4. Step 4: Simplify right side
    51,813.66x = 1,440,295,493.90
  5. Step 5: Solve for x
    x = 1,440,295,493.90/51,813.66
  6. Step 6: Final answer
    x = 27,797.60

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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.