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Finding the Fourth Proportional to 199,507.55, 299,396.84 and 81,200.39

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Solution

The fourth proportional to 199,507.55, 299,396.84 and 81,200.39 is: 121,855.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,507.55 : 299,396.84 = 81,200.39 : x
  2. Step 2: Convert to fraction form
    199,507.55/299,396.84 = 81,200.39/x
  3. Step 3: Cross multiply
    199,507.55x = 299,396.84 × 81,200.39
  4. Step 4: Simplify right side
    199,507.55x = 24,311,138,269.78
  5. Step 5: Solve for x
    x = 24,311,138,269.78/199,507.55
  6. Step 6: Final answer
    x = 121,855.73

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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.