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Finding the Fourth Proportional to 51,260.50, 76,894.77 and 13,820.00

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Solution

The fourth proportional to 51,260.50, 76,894.77 and 13,820.00 is: 20,731.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,260.50 : 76,894.77 = 13,820.00 : x
  2. Step 2: Convert to fraction form
    51,260.50/76,894.77 = 13,820.00/x
  3. Step 3: Cross multiply
    51,260.50x = 76,894.77 × 13,820.00
  4. Step 4: Simplify right side
    51,260.50x = 1,062,686,067.95
  5. Step 5: Solve for x
    x = 1,062,686,067.95/51,260.50
  6. Step 6: Final answer
    x = 20,731.09

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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.