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Finding the Fourth Proportional to 193,855.80, 290,727.36 and 75,500.76

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Solution

The fourth proportional to 193,855.80, 290,727.36 and 75,500.76 is: 113,229.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,855.80 : 290,727.36 = 75,500.76 : x
  2. Step 2: Convert to fraction form
    193,855.80/290,727.36 = 75,500.76/x
  3. Step 3: Cross multiply
    193,855.80x = 290,727.36 × 75,500.76
  4. Step 4: Simplify right side
    193,855.80x = 21,950,136,632.79
  5. Step 5: Solve for x
    x = 21,950,136,632.79/193,855.80
  6. Step 6: Final answer
    x = 113,229.20

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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.