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Finding the Fourth Proportional to 192,693.20, 289,039.80 and 81,870.80

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Solution

The fourth proportional to 192,693.20, 289,039.80 and 81,870.80 is: 122,806.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,693.20 : 289,039.80 = 81,870.80 : x
  2. Step 2: Convert to fraction form
    192,693.20/289,039.80 = 81,870.80/x
  3. Step 3: Cross multiply
    192,693.20x = 289,039.80 × 81,870.80
  4. Step 4: Simplify right side
    192,693.20x = 23,663,919,657.84
  5. Step 5: Solve for x
    x = 23,663,919,657.84/192,693.20
  6. Step 6: Final answer
    x = 122,806.20

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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.