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Finding the Fourth Proportional to 200,187.42, 300,283.11 and 81,777.84

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Solution

The fourth proportional to 200,187.42, 300,283.11 and 81,777.84 is: 122,667.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,187.42 : 300,283.11 = 81,777.84 : x
  2. Step 2: Convert to fraction form
    200,187.42/300,283.11 = 81,777.84/x
  3. Step 3: Cross multiply
    200,187.42x = 300,283.11 × 81,777.84
  4. Step 4: Simplify right side
    200,187.42x = 24,556,504,124.28
  5. Step 5: Solve for x
    x = 24,556,504,124.28/200,187.42
  6. Step 6: Final answer
    x = 122,667.57

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1.5x scale

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.