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Finding the Fourth Proportional to 192,109.28, 288,163.98 and 51,867.80

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Solution

The fourth proportional to 192,109.28, 288,163.98 and 51,867.80 is: 77,801.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,109.28 : 288,163.98 = 51,867.80 : x
  2. Step 2: Convert to fraction form
    192,109.28/288,163.98 = 51,867.80/x
  3. Step 3: Cross multiply
    192,109.28x = 288,163.98 × 51,867.80
  4. Step 4: Simplify right side
    192,109.28x = 14,946,431,681.84
  5. Step 5: Solve for x
    x = 14,946,431,681.84/192,109.28
  6. Step 6: Final answer
    x = 77,801.72

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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.