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Finding the Fourth Proportional to 68,149.76, 102,230.51 and 20,763.81

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Solution

The fourth proportional to 68,149.76, 102,230.51 and 20,763.81 is: 31,147.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,149.76 : 102,230.51 = 20,763.81 : x
  2. Step 2: Convert to fraction form
    68,149.76/102,230.51 = 20,763.81/x
  3. Step 3: Cross multiply
    68,149.76x = 102,230.51 × 20,763.81
  4. Step 4: Simplify right side
    68,149.76x = 2,122,694,782.02
  5. Step 5: Solve for x
    x = 2,122,694,782.02/68,149.76
  6. Step 6: Final answer
    x = 31,147.50

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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.