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Finding the Fourth Proportional to 192,807.17, 289,269.83 and 86,280.80

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Solution

The fourth proportional to 192,807.17, 289,269.83 and 86,280.80 is: 129,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,807.17 : 289,269.83 = 86,280.80 : x
  2. Step 2: Convert to fraction form
    192,807.17/289,269.83 = 86,280.80/x
  3. Step 3: Cross multiply
    192,807.17x = 289,269.83 × 86,280.80
  4. Step 4: Simplify right side
    192,807.17x = 24,958,431,117.62
  5. Step 5: Solve for x
    x = 24,958,431,117.62/192,807.17
  6. Step 6: Final answer
    x = 129,447.63

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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.